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Finding the Fourth Proportional to 6,930.42, 10,407.15 and 6,876.66

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Solution

The fourth proportional to 6,930.42, 10,407.15 and 6,876.66 is: 10,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.42 : 10,407.15 = 6,876.66 : x
  2. Step 2: Convert to fraction form
    6,930.42/10,407.15 = 6,876.66/x
  3. Step 3: Cross multiply
    6,930.42x = 10,407.15 × 6,876.66
  4. Step 4: Simplify right side
    6,930.42x = 71,566,432.12
  5. Step 5: Solve for x
    x = 71,566,432.12/6,930.42
  6. Step 6: Final answer
    x = 10,326.42

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