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Finding the Fourth Proportional to 10,342.86, 15,511.05 and 5,409.90

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Solution

The fourth proportional to 10,342.86, 15,511.05 and 5,409.90 is: 8,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.86 : 15,511.05 = 5,409.90 : x
  2. Step 2: Convert to fraction form
    10,342.86/15,511.05 = 5,409.90/x
  3. Step 3: Cross multiply
    10,342.86x = 15,511.05 × 5,409.90
  4. Step 4: Simplify right side
    10,342.86x = 83,913,229.40
  5. Step 5: Solve for x
    x = 83,913,229.40/10,342.86
  6. Step 6: Final answer
    x = 8,113.16

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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.