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Finding the Fourth Proportional to 10,296.64, 15,422.28 and 5,023.54

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Solution

The fourth proportional to 10,296.64, 15,422.28 and 5,023.54 is: 7,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.64 : 15,422.28 = 5,023.54 : x
  2. Step 2: Convert to fraction form
    10,296.64/15,422.28 = 5,023.54/x
  3. Step 3: Cross multiply
    10,296.64x = 15,422.28 × 5,023.54
  4. Step 4: Simplify right side
    10,296.64x = 77,474,440.47
  5. Step 5: Solve for x
    x = 77,474,440.47/10,296.64
  6. Step 6: Final answer
    x = 7,524.24

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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.