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Finding the Fourth Proportional to 10,097.91, 13,930.23 and 6,511.92

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Solution

The fourth proportional to 10,097.91, 13,930.23 and 6,511.92 is: 8,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.91 : 13,930.23 = 6,511.92 : x
  2. Step 2: Convert to fraction form
    10,097.91/13,930.23 = 6,511.92/x
  3. Step 3: Cross multiply
    10,097.91x = 13,930.23 × 6,511.92
  4. Step 4: Simplify right side
    10,097.91x = 90,712,543.34
  5. Step 5: Solve for x
    x = 90,712,543.34/10,097.91
  6. Step 6: Final answer
    x = 8,983.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.