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Finding the Fourth Proportional to 10,342.59, 15,516.32 and 2,947.15

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Solution

The fourth proportional to 10,342.59, 15,516.32 and 2,947.15 is: 4,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.59 : 15,516.32 = 2,947.15 : x
  2. Step 2: Convert to fraction form
    10,342.59/15,516.32 = 2,947.15/x
  3. Step 3: Cross multiply
    10,342.59x = 15,516.32 × 2,947.15
  4. Step 4: Simplify right side
    10,342.59x = 45,728,927.15
  5. Step 5: Solve for x
    x = 45,728,927.15/10,342.59
  6. Step 6: Final answer
    x = 4,421.42

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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.