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Finding the Fourth Proportional to 8,415.65, 12,623.69 and 3,483.97

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Solution

The fourth proportional to 8,415.65, 12,623.69 and 3,483.97 is: 5,226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.65 : 12,623.69 = 3,483.97 : x
  2. Step 2: Convert to fraction form
    8,415.65/12,623.69 = 3,483.97/x
  3. Step 3: Cross multiply
    8,415.65x = 12,623.69 × 3,483.97
  4. Step 4: Simplify right side
    8,415.65x = 43,980,534.40
  5. Step 5: Solve for x
    x = 43,980,534.40/8,415.65
  6. Step 6: Final answer
    x = 5,226.04

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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.