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Finding the Fourth Proportional to 7,660.59, 11,480.25 and 3,490.40

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Solution

The fourth proportional to 7,660.59, 11,480.25 and 3,490.40 is: 5,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.59 : 11,480.25 = 3,490.40 : x
  2. Step 2: Convert to fraction form
    7,660.59/11,480.25 = 3,490.40/x
  3. Step 3: Cross multiply
    7,660.59x = 11,480.25 × 3,490.40
  4. Step 4: Simplify right side
    7,660.59x = 40,070,686.76
  5. Step 5: Solve for x
    x = 40,070,686.76/7,660.59
  6. Step 6: Final answer
    x = 5,230.76

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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.