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Finding the Fourth Proportional to 8,715.70, 12,029.58 and 5,731.81

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Solution

The fourth proportional to 8,715.70, 12,029.58 and 5,731.81 is: 7,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.70 : 12,029.58 = 5,731.81 : x
  2. Step 2: Convert to fraction form
    8,715.70/12,029.58 = 5,731.81/x
  3. Step 3: Cross multiply
    8,715.70x = 12,029.58 × 5,731.81
  4. Step 4: Simplify right side
    8,715.70x = 68,951,304.53
  5. Step 5: Solve for x
    x = 68,951,304.53/8,715.70
  6. Step 6: Final answer
    x = 7,911.16

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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.