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Finding the Fourth Proportional to 8,686.12, 13,026 and 3,138.13

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Solution

The fourth proportional to 8,686.12, 13,026 and 3,138.13 is: 4,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.12 : 13,026 = 3,138.13 : x
  2. Step 2: Convert to fraction form
    8,686.12/13,026 = 3,138.13/x
  3. Step 3: Cross multiply
    8,686.12x = 13,026 × 3,138.13
  4. Step 4: Simplify right side
    8,686.12x = 40,877,281.38
  5. Step 5: Solve for x
    x = 40,877,281.38/8,686.12
  6. Step 6: Final answer
    x = 4,706.05

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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.