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Finding the Fourth Proportional to 10,455.20, 15,721.20 and 8,765.60

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Solution

The fourth proportional to 10,455.20, 15,721.20 and 8,765.60 is: 13,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.20 : 15,721.20 = 8,765.60 : x
  2. Step 2: Convert to fraction form
    10,455.20/15,721.20 = 8,765.60/x
  3. Step 3: Cross multiply
    10,455.20x = 15,721.20 × 8,765.60
  4. Step 4: Simplify right side
    10,455.20x = 137,805,750.72
  5. Step 5: Solve for x
    x = 137,805,750.72/10,455.20
  6. Step 6: Final answer
    x = 13,180.59

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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.