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Finding the Fourth Proportional to 10,942.86, 15,101.73 and 6,228.66

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Solution

The fourth proportional to 10,942.86, 15,101.73 and 6,228.66 is: 8,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.86 : 15,101.73 = 6,228.66 : x
  2. Step 2: Convert to fraction form
    10,942.86/15,101.73 = 6,228.66/x
  3. Step 3: Cross multiply
    10,942.86x = 15,101.73 × 6,228.66
  4. Step 4: Simplify right side
    10,942.86x = 94,063,541.58
  5. Step 5: Solve for x
    x = 94,063,541.58/10,942.86
  6. Step 6: Final answer
    x = 8,595.88

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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.