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Finding the Fourth Proportional to 10,228.60, 15,342.90 and 5,640.76

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Solution

The fourth proportional to 10,228.60, 15,342.90 and 5,640.76 is: 8,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.60 : 15,342.90 = 5,640.76 : x
  2. Step 2: Convert to fraction form
    10,228.60/15,342.90 = 5,640.76/x
  3. Step 3: Cross multiply
    10,228.60x = 15,342.90 × 5,640.76
  4. Step 4: Simplify right side
    10,228.60x = 86,545,616.60
  5. Step 5: Solve for x
    x = 86,545,616.60/10,228.60
  6. Step 6: Final answer
    x = 8,461.14

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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.