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Finding the Fourth Proportional to 7,562.64, 11,332.40 and 3,177.70

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Solution

The fourth proportional to 7,562.64, 11,332.40 and 3,177.70 is: 4,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.64 : 11,332.40 = 3,177.70 : x
  2. Step 2: Convert to fraction form
    7,562.64/11,332.40 = 3,177.70/x
  3. Step 3: Cross multiply
    7,562.64x = 11,332.40 × 3,177.70
  4. Step 4: Simplify right side
    7,562.64x = 36,010,967.48
  5. Step 5: Solve for x
    x = 36,010,967.48/7,562.64
  6. Step 6: Final answer
    x = 4,761.69

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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.