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Finding the Fourth Proportional to 8,071.47, 11,138.42 and 4,534.92

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Solution

The fourth proportional to 8,071.47, 11,138.42 and 4,534.92 is: 6,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.47 : 11,138.42 = 4,534.92 : x
  2. Step 2: Convert to fraction form
    8,071.47/11,138.42 = 4,534.92/x
  3. Step 3: Cross multiply
    8,071.47x = 11,138.42 × 4,534.92
  4. Step 4: Simplify right side
    8,071.47x = 50,511,854.96
  5. Step 5: Solve for x
    x = 50,511,854.96/8,071.47
  6. Step 6: Final answer
    x = 6,258.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.