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Finding the Fourth Proportional to 7,145.60, 9,865.12 and 5,255.68

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Solution

The fourth proportional to 7,145.60, 9,865.12 and 5,255.68 is: 7,255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.60 : 9,865.12 = 5,255.68 : x
  2. Step 2: Convert to fraction form
    7,145.60/9,865.12 = 5,255.68/x
  3. Step 3: Cross multiply
    7,145.60x = 9,865.12 × 5,255.68
  4. Step 4: Simplify right side
    7,145.60x = 51,847,913.88
  5. Step 5: Solve for x
    x = 51,847,913.88/7,145.60
  6. Step 6: Final answer
    x = 7,255.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.