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Finding the Fourth Proportional to 10,469.52, 15,710.49 and 4,228.74

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Solution

The fourth proportional to 10,469.52, 15,710.49 and 4,228.74 is: 6,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.52 : 15,710.49 = 4,228.74 : x
  2. Step 2: Convert to fraction form
    10,469.52/15,710.49 = 4,228.74/x
  3. Step 3: Cross multiply
    10,469.52x = 15,710.49 × 4,228.74
  4. Step 4: Simplify right side
    10,469.52x = 66,435,577.48
  5. Step 5: Solve for x
    x = 66,435,577.48/10,469.52
  6. Step 6: Final answer
    x = 6,345.62

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