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Finding the Fourth Proportional to 7,655.20, 11,482.88 and 3,269.92

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Solution

The fourth proportional to 7,655.20, 11,482.88 and 3,269.92 is: 4,904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.20 : 11,482.88 = 3,269.92 : x
  2. Step 2: Convert to fraction form
    7,655.20/11,482.88 = 3,269.92/x
  3. Step 3: Cross multiply
    7,655.20x = 11,482.88 × 3,269.92
  4. Step 4: Simplify right side
    7,655.20x = 37,548,098.97
  5. Step 5: Solve for x
    x = 37,548,098.97/7,655.20
  6. Step 6: Final answer
    x = 4,904.91

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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.