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Finding the Fourth Proportional to 8,607.24, 11,878.38 and 6,741

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Solution

The fourth proportional to 8,607.24, 11,878.38 and 6,741 is: 9,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,607.24 : 11,878.38 = 6,741 : x
  2. Step 2: Convert to fraction form
    8,607.24/11,878.38 = 6,741/x
  3. Step 3: Cross multiply
    8,607.24x = 11,878.38 × 6,741
  4. Step 4: Simplify right side
    8,607.24x = 80,072,159.58
  5. Step 5: Solve for x
    x = 80,072,159.58/8,607.24
  6. Step 6: Final answer
    x = 9,302.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.