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Finding the Fourth Proportional to 10,230.74, 15,318.75 and 5,842.16

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Solution

The fourth proportional to 10,230.74, 15,318.75 and 5,842.16 is: 8,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.74 : 15,318.75 = 5,842.16 : x
  2. Step 2: Convert to fraction form
    10,230.74/15,318.75 = 5,842.16/x
  3. Step 3: Cross multiply
    10,230.74x = 15,318.75 × 5,842.16
  4. Step 4: Simplify right side
    10,230.74x = 89,494,588.50
  5. Step 5: Solve for x
    x = 89,494,588.50/10,230.74
  6. Step 6: Final answer
    x = 8,747.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.