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Finding the Fourth Proportional to 7,804.36, 11,710.50 and 3,421.84

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Solution

The fourth proportional to 7,804.36, 11,710.50 and 3,421.84 is: 5,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.36 : 11,710.50 = 3,421.84 : x
  2. Step 2: Convert to fraction form
    7,804.36/11,710.50 = 3,421.84/x
  3. Step 3: Cross multiply
    7,804.36x = 11,710.50 × 3,421.84
  4. Step 4: Simplify right side
    7,804.36x = 40,071,457.32
  5. Step 5: Solve for x
    x = 40,071,457.32/7,804.36
  6. Step 6: Final answer
    x = 5,134.50

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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.