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Finding the Fourth Proportional to 12,158.12, 16,767.86 and 8,387.30

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Solution

The fourth proportional to 12,158.12, 16,767.86 and 8,387.30 is: 11,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.12 : 16,767.86 = 8,387.30 : x
  2. Step 2: Convert to fraction form
    12,158.12/16,767.86 = 8,387.30/x
  3. Step 3: Cross multiply
    12,158.12x = 16,767.86 × 8,387.30
  4. Step 4: Simplify right side
    12,158.12x = 140,636,946.40
  5. Step 5: Solve for x
    x = 140,636,946.40/12,158.12
  6. Step 6: Final answer
    x = 11,567.33

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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.