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Finding the Fourth Proportional to 10,213.32, 14,095.14 and 5,737.48

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Solution

The fourth proportional to 10,213.32, 14,095.14 and 5,737.48 is: 7,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.32 : 14,095.14 = 5,737.48 : x
  2. Step 2: Convert to fraction form
    10,213.32/14,095.14 = 5,737.48/x
  3. Step 3: Cross multiply
    10,213.32x = 14,095.14 × 5,737.48
  4. Step 4: Simplify right side
    10,213.32x = 80,870,583.85
  5. Step 5: Solve for x
    x = 80,870,583.85/10,213.32
  6. Step 6: Final answer
    x = 7,918.15

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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.