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Finding the Fourth Proportional to 10,930.47, 15,078.92 and 6,451.17

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Solution

The fourth proportional to 10,930.47, 15,078.92 and 6,451.17 is: 8,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.47 : 15,078.92 = 6,451.17 : x
  2. Step 2: Convert to fraction form
    10,930.47/15,078.92 = 6,451.17/x
  3. Step 3: Cross multiply
    10,930.47x = 15,078.92 × 6,451.17
  4. Step 4: Simplify right side
    10,930.47x = 97,276,676.34
  5. Step 5: Solve for x
    x = 97,276,676.34/10,930.47
  6. Step 6: Final answer
    x = 8,899.59

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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.