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Finding the Fourth Proportional to 8,643.61, 12,890.98 and 8,488.09

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Solution

The fourth proportional to 8,643.61, 12,890.98 and 8,488.09 is: 12,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.61 : 12,890.98 = 8,488.09 : x
  2. Step 2: Convert to fraction form
    8,643.61/12,890.98 = 8,488.09/x
  3. Step 3: Cross multiply
    8,643.61x = 12,890.98 × 8,488.09
  4. Step 4: Simplify right side
    8,643.61x = 109,419,798.43
  5. Step 5: Solve for x
    x = 109,419,798.43/8,643.61
  6. Step 6: Final answer
    x = 12,659.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.