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Finding the Fourth Proportional to 10,234.47, 15,318.40 and 5,724.08

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Solution

The fourth proportional to 10,234.47, 15,318.40 and 5,724.08 is: 8,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.47 : 15,318.40 = 5,724.08 : x
  2. Step 2: Convert to fraction form
    10,234.47/15,318.40 = 5,724.08/x
  3. Step 3: Cross multiply
    10,234.47x = 15,318.40 × 5,724.08
  4. Step 4: Simplify right side
    10,234.47x = 87,683,792.52
  5. Step 5: Solve for x
    x = 87,683,792.52/10,234.47
  6. Step 6: Final answer
    x = 8,567.50

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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.