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Finding the Fourth Proportional to 8,457.80, 12,686.71 and 3,191.39

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Solution

The fourth proportional to 8,457.80, 12,686.71 and 3,191.39 is: 4,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.80 : 12,686.71 = 3,191.39 : x
  2. Step 2: Convert to fraction form
    8,457.80/12,686.71 = 3,191.39/x
  3. Step 3: Cross multiply
    8,457.80x = 12,686.71 × 3,191.39
  4. Step 4: Simplify right side
    8,457.80x = 40,488,197.00
  5. Step 5: Solve for x
    x = 40,488,197.00/8,457.80
  6. Step 6: Final answer
    x = 4,787.08

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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.