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Finding the Fourth Proportional to 10,301.42, 15,454.83 and 4,456.66

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Solution

The fourth proportional to 10,301.42, 15,454.83 and 4,456.66 is: 6,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.42 : 15,454.83 = 4,456.66 : x
  2. Step 2: Convert to fraction form
    10,301.42/15,454.83 = 4,456.66/x
  3. Step 3: Cross multiply
    10,301.42x = 15,454.83 × 4,456.66
  4. Step 4: Simplify right side
    10,301.42x = 68,876,922.67
  5. Step 5: Solve for x
    x = 68,876,922.67/10,301.42
  6. Step 6: Final answer
    x = 6,686.16

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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.