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Finding the Fourth Proportional to 10,162.86, 15,233.88 and 6,876.30

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Solution

The fourth proportional to 10,162.86, 15,233.88 and 6,876.30 is: 10,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.86 : 15,233.88 = 6,876.30 : x
  2. Step 2: Convert to fraction form
    10,162.86/15,233.88 = 6,876.30/x
  3. Step 3: Cross multiply
    10,162.86x = 15,233.88 × 6,876.30
  4. Step 4: Simplify right side
    10,162.86x = 104,752,729.04
  5. Step 5: Solve for x
    x = 104,752,729.04/10,162.86
  6. Step 6: Final answer
    x = 10,307.41

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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.