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Finding the Fourth Proportional to 10,285.52, 15,430.68 and 3,360

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Solution

The fourth proportional to 10,285.52, 15,430.68 and 3,360 is: 5,040.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.52 : 15,430.68 = 3,360 : x
  2. Step 2: Convert to fraction form
    10,285.52/15,430.68 = 3,360/x
  3. Step 3: Cross multiply
    10,285.52x = 15,430.68 × 3,360
  4. Step 4: Simplify right side
    10,285.52x = 51,847,084.80
  5. Step 5: Solve for x
    x = 51,847,084.80/10,285.52
  6. Step 6: Final answer
    x = 5,040.78

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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.