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Finding the Fourth Proportional to 10,566.74, 15,839.31 and 6,876.38

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Solution

The fourth proportional to 10,566.74, 15,839.31 and 6,876.38 is: 10,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.74 : 15,839.31 = 6,876.38 : x
  2. Step 2: Convert to fraction form
    10,566.74/15,839.31 = 6,876.38/x
  3. Step 3: Cross multiply
    10,566.74x = 15,839.31 × 6,876.38
  4. Step 4: Simplify right side
    10,566.74x = 108,917,114.50
  5. Step 5: Solve for x
    x = 108,917,114.50/10,566.74
  6. Step 6: Final answer
    x = 10,307.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.