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Finding the Fourth Proportional to 10,214.52, 15,323.98 and 3,551.24

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Solution

The fourth proportional to 10,214.52, 15,323.98 and 3,551.24 is: 5,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.52 : 15,323.98 = 3,551.24 : x
  2. Step 2: Convert to fraction form
    10,214.52/15,323.98 = 3,551.24/x
  3. Step 3: Cross multiply
    10,214.52x = 15,323.98 × 3,551.24
  4. Step 4: Simplify right side
    10,214.52x = 54,419,130.74
  5. Step 5: Solve for x
    x = 54,419,130.74/10,214.52
  6. Step 6: Final answer
    x = 5,327.62

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