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Finding the Fourth Proportional to 8,713.10, 12,029.06 and 5,737.58

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Solution

The fourth proportional to 8,713.10, 12,029.06 and 5,737.58 is: 7,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.10 : 12,029.06 = 5,737.58 : x
  2. Step 2: Convert to fraction form
    8,713.10/12,029.06 = 5,737.58/x
  3. Step 3: Cross multiply
    8,713.10x = 12,029.06 × 5,737.58
  4. Step 4: Simplify right side
    8,713.10x = 69,017,694.07
  5. Step 5: Solve for x
    x = 69,017,694.07/8,713.10
  6. Step 6: Final answer
    x = 7,921.14

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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.