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Finding the Fourth Proportional to 10,333.92, 14,260.78 and 5,618.16

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Solution

The fourth proportional to 10,333.92, 14,260.78 and 5,618.16 is: 7,753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.92 : 14,260.78 = 5,618.16 : x
  2. Step 2: Convert to fraction form
    10,333.92/14,260.78 = 5,618.16/x
  3. Step 3: Cross multiply
    10,333.92x = 14,260.78 × 5,618.16
  4. Step 4: Simplify right side
    10,333.92x = 80,119,343.76
  5. Step 5: Solve for x
    x = 80,119,343.76/10,333.92
  6. Step 6: Final answer
    x = 7,753.04

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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.