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Finding the Fourth Proportional to 8,697.92, 13,046.70 and 8,020.70

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Solution

The fourth proportional to 8,697.92, 13,046.70 and 8,020.70 is: 12,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.92 : 13,046.70 = 8,020.70 : x
  2. Step 2: Convert to fraction form
    8,697.92/13,046.70 = 8,020.70/x
  3. Step 3: Cross multiply
    8,697.92x = 13,046.70 × 8,020.70
  4. Step 4: Simplify right side
    8,697.92x = 104,643,601.46
  5. Step 5: Solve for x
    x = 104,643,601.46/8,697.92
  6. Step 6: Final answer
    x = 12,030.88

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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.