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Finding the Fourth Proportional to 10,213.62, 14,095.16 and 5,737.28

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Solution

The fourth proportional to 10,213.62, 14,095.16 and 5,737.28 is: 7,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.62 : 14,095.16 = 5,737.28 : x
  2. Step 2: Convert to fraction form
    10,213.62/14,095.16 = 5,737.28/x
  3. Step 3: Cross multiply
    10,213.62x = 14,095.16 × 5,737.28
  4. Step 4: Simplify right side
    10,213.62x = 80,867,823.43
  5. Step 5: Solve for x
    x = 80,867,823.43/10,213.62
  6. Step 6: Final answer
    x = 7,917.65

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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.