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Finding the Fourth Proportional to 10,080.64, 15,122.52 and 5,147.60

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Solution

The fourth proportional to 10,080.64, 15,122.52 and 5,147.60 is: 7,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.64 : 15,122.52 = 5,147.60 : x
  2. Step 2: Convert to fraction form
    10,080.64/15,122.52 = 5,147.60/x
  3. Step 3: Cross multiply
    10,080.64x = 15,122.52 × 5,147.60
  4. Step 4: Simplify right side
    10,080.64x = 77,844,683.95
  5. Step 5: Solve for x
    x = 77,844,683.95/10,080.64
  6. Step 6: Final answer
    x = 7,722.20

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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.