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Finding the Fourth Proportional to 10,201.60, 15,280.80 and 6,702.40

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Solution

The fourth proportional to 10,201.60, 15,280.80 and 6,702.40 is: 10,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.60 : 15,280.80 = 6,702.40 : x
  2. Step 2: Convert to fraction form
    10,201.60/15,280.80 = 6,702.40/x
  3. Step 3: Cross multiply
    10,201.60x = 15,280.80 × 6,702.40
  4. Step 4: Simplify right side
    10,201.60x = 102,418,033.92
  5. Step 5: Solve for x
    x = 102,418,033.92/10,201.60
  6. Step 6: Final answer
    x = 10,039.41

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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.