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Finding the Fourth Proportional to 7,003.20, 9,660.96 and 5,966.40

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Solution

The fourth proportional to 7,003.20, 9,660.96 and 5,966.40 is: 8,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.20 : 9,660.96 = 5,966.40 : x
  2. Step 2: Convert to fraction form
    7,003.20/9,660.96 = 5,966.40/x
  3. Step 3: Cross multiply
    7,003.20x = 9,660.96 × 5,966.40
  4. Step 4: Simplify right side
    7,003.20x = 57,641,151.74
  5. Step 5: Solve for x
    x = 57,641,151.74/7,003.20
  6. Step 6: Final answer
    x = 8,230.69

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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.