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Finding the Fourth Proportional to 10,349.57, 14,281.31 and 5,812.16

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Solution

The fourth proportional to 10,349.57, 14,281.31 and 5,812.16 is: 8,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.57 : 14,281.31 = 5,812.16 : x
  2. Step 2: Convert to fraction form
    10,349.57/14,281.31 = 5,812.16/x
  3. Step 3: Cross multiply
    10,349.57x = 14,281.31 × 5,812.16
  4. Step 4: Simplify right side
    10,349.57x = 83,005,201.85
  5. Step 5: Solve for x
    x = 83,005,201.85/10,349.57
  6. Step 6: Final answer
    x = 8,020.16

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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.