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Finding the Fourth Proportional to 10,342.08, 15,513.89 and 2,947.14

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Solution

The fourth proportional to 10,342.08, 15,513.89 and 2,947.14 is: 4,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.08 : 15,513.89 = 2,947.14 : x
  2. Step 2: Convert to fraction form
    10,342.08/15,513.89 = 2,947.14/x
  3. Step 3: Cross multiply
    10,342.08x = 15,513.89 × 2,947.14
  4. Step 4: Simplify right side
    10,342.08x = 45,721,591.04
  5. Step 5: Solve for x
    x = 45,721,591.04/10,342.08
  6. Step 6: Final answer
    x = 4,420.93

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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.