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Finding the Fourth Proportional to 8,071.68, 11,138.24 and 4,534.16

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Solution

The fourth proportional to 8,071.68, 11,138.24 and 4,534.16 is: 6,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.68 : 11,138.24 = 4,534.16 : x
  2. Step 2: Convert to fraction form
    8,071.68/11,138.24 = 4,534.16/x
  3. Step 3: Cross multiply
    8,071.68x = 11,138.24 × 4,534.16
  4. Step 4: Simplify right side
    8,071.68x = 50,502,562.28
  5. Step 5: Solve for x
    x = 50,502,562.28/8,071.68
  6. Step 6: Final answer
    x = 6,256.76

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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.