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Finding the Fourth Proportional to 8,780.98, 13,171.47 and 2,207.16

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Solution

The fourth proportional to 8,780.98, 13,171.47 and 2,207.16 is: 3,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,780.98 : 13,171.47 = 2,207.16 : x
  2. Step 2: Convert to fraction form
    8,780.98/13,171.47 = 2,207.16/x
  3. Step 3: Cross multiply
    8,780.98x = 13,171.47 × 2,207.16
  4. Step 4: Simplify right side
    8,780.98x = 29,071,567.49
  5. Step 5: Solve for x
    x = 29,071,567.49/8,780.98
  6. Step 6: Final answer
    x = 3,310.74

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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.