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Finding the Fourth Proportional to 8,712.86, 13,069.29 and 3,165.17

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Solution

The fourth proportional to 8,712.86, 13,069.29 and 3,165.17 is: 4,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.86 : 13,069.29 = 3,165.17 : x
  2. Step 2: Convert to fraction form
    8,712.86/13,069.29 = 3,165.17/x
  3. Step 3: Cross multiply
    8,712.86x = 13,069.29 × 3,165.17
  4. Step 4: Simplify right side
    8,712.86x = 41,366,524.63
  5. Step 5: Solve for x
    x = 41,366,524.63/8,712.86
  6. Step 6: Final answer
    x = 4,747.76

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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.