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Finding the Fourth Proportional to 10,434.73, 15,655.92 and 4,889.86

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Solution

The fourth proportional to 10,434.73, 15,655.92 and 4,889.86 is: 7,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.73 : 15,655.92 = 4,889.86 : x
  2. Step 2: Convert to fraction form
    10,434.73/15,655.92 = 4,889.86/x
  3. Step 3: Cross multiply
    10,434.73x = 15,655.92 × 4,889.86
  4. Step 4: Simplify right side
    10,434.73x = 76,555,256.97
  5. Step 5: Solve for x
    x = 76,555,256.97/10,434.73
  6. Step 6: Final answer
    x = 7,336.58

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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.