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Finding the Fourth Proportional to 7,429.78, 11,147.03 and 4,471.46

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Solution

The fourth proportional to 7,429.78, 11,147.03 and 4,471.46 is: 6,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.78 : 11,147.03 = 4,471.46 : x
  2. Step 2: Convert to fraction form
    7,429.78/11,147.03 = 4,471.46/x
  3. Step 3: Cross multiply
    7,429.78x = 11,147.03 × 4,471.46
  4. Step 4: Simplify right side
    7,429.78x = 49,843,498.76
  5. Step 5: Solve for x
    x = 49,843,498.76/7,429.78
  6. Step 6: Final answer
    x = 6,708.61

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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.