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Finding the Fourth Proportional to 7,671,968.75, 11,509,847.46 and 2,280,596.10

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Solution

The fourth proportional to 7,671,968.75, 11,509,847.46 and 2,280,596.10 is: 3,421,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671,968.75 : 11,509,847.46 = 2,280,596.10 : x
  2. Step 2: Convert to fraction form
    7,671,968.75/11,509,847.46 = 2,280,596.10/x
  3. Step 3: Cross multiply
    7,671,968.75x = 11,509,847.46 × 2,280,596.10
  4. Step 4: Simplify right side
    7,671,968.75x = 26,249,313,228,870.91
  5. Step 5: Solve for x
    x = 26,249,313,228,870.91/7,671,968.75
  6. Step 6: Final answer
    x = 3,421,457.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.