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Finding the Fourth Proportional to 10,917.72, 16,366.86 and 5,071.14

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Solution

The fourth proportional to 10,917.72, 16,366.86 and 5,071.14 is: 7,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.72 : 16,366.86 = 5,071.14 : x
  2. Step 2: Convert to fraction form
    10,917.72/16,366.86 = 5,071.14/x
  3. Step 3: Cross multiply
    10,917.72x = 16,366.86 × 5,071.14
  4. Step 4: Simplify right side
    10,917.72x = 82,998,638.42
  5. Step 5: Solve for x
    x = 82,998,638.42/10,917.72
  6. Step 6: Final answer
    x = 7,602.20

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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.