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Finding the Fourth Proportional to 10,678.43, 14,734.86 and 5,962.91

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Solution

The fourth proportional to 10,678.43, 14,734.86 and 5,962.91 is: 8,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.43 : 14,734.86 = 5,962.91 : x
  2. Step 2: Convert to fraction form
    10,678.43/14,734.86 = 5,962.91/x
  3. Step 3: Cross multiply
    10,678.43x = 14,734.86 × 5,962.91
  4. Step 4: Simplify right side
    10,678.43x = 87,862,644.04
  5. Step 5: Solve for x
    x = 87,862,644.04/10,678.43
  6. Step 6: Final answer
    x = 8,228.05

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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.