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Finding the Fourth Proportional to 10,301.46, 15,443.07 and 4,454.88

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Solution

The fourth proportional to 10,301.46, 15,443.07 and 4,454.88 is: 6,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.46 : 15,443.07 = 4,454.88 : x
  2. Step 2: Convert to fraction form
    10,301.46/15,443.07 = 4,454.88/x
  3. Step 3: Cross multiply
    10,301.46x = 15,443.07 × 4,454.88
  4. Step 4: Simplify right side
    10,301.46x = 68,797,023.68
  5. Step 5: Solve for x
    x = 68,797,023.68/10,301.46
  6. Step 6: Final answer
    x = 6,678.38

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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.