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Finding the Fourth Proportional to 7,002.80, 9,660.36 and 6,502.56

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Solution

The fourth proportional to 7,002.80, 9,660.36 and 6,502.56 is: 8,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.80 : 9,660.36 = 6,502.56 : x
  2. Step 2: Convert to fraction form
    7,002.80/9,660.36 = 6,502.56/x
  3. Step 3: Cross multiply
    7,002.80x = 9,660.36 × 6,502.56
  4. Step 4: Simplify right side
    7,002.80x = 62,817,070.52
  5. Step 5: Solve for x
    x = 62,817,070.52/7,002.80
  6. Step 6: Final answer
    x = 8,970.28

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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.