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Finding the Fourth Proportional to 8,740.64, 12,062.12 and 4,761.76

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Solution

The fourth proportional to 8,740.64, 12,062.12 and 4,761.76 is: 6,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.64 : 12,062.12 = 4,761.76 : x
  2. Step 2: Convert to fraction form
    8,740.64/12,062.12 = 4,761.76/x
  3. Step 3: Cross multiply
    8,740.64x = 12,062.12 × 4,761.76
  4. Step 4: Simplify right side
    8,740.64x = 57,436,920.53
  5. Step 5: Solve for x
    x = 57,436,920.53/8,740.64
  6. Step 6: Final answer
    x = 6,571.25

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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.