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Finding the Fourth Proportional to 10,306.66, 15,458.20 and 4,759.54

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Solution

The fourth proportional to 10,306.66, 15,458.20 and 4,759.54 is: 7,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.66 : 15,458.20 = 4,759.54 : x
  2. Step 2: Convert to fraction form
    10,306.66/15,458.20 = 4,759.54/x
  3. Step 3: Cross multiply
    10,306.66x = 15,458.20 × 4,759.54
  4. Step 4: Simplify right side
    10,306.66x = 73,573,921.23
  5. Step 5: Solve for x
    x = 73,573,921.23/10,306.66
  6. Step 6: Final answer
    x = 7,138.48

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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.