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Finding the Fourth Proportional to 10,262.57, 15,366.05 and 5,321.85

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Solution

The fourth proportional to 10,262.57, 15,366.05 and 5,321.85 is: 7,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.57 : 15,366.05 = 5,321.85 : x
  2. Step 2: Convert to fraction form
    10,262.57/15,366.05 = 5,321.85/x
  3. Step 3: Cross multiply
    10,262.57x = 15,366.05 × 5,321.85
  4. Step 4: Simplify right side
    10,262.57x = 81,775,865.29
  5. Step 5: Solve for x
    x = 81,775,865.29/10,262.57
  6. Step 6: Final answer
    x = 7,968.36

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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.