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Finding the Fourth Proportional to 8,046.14, 12,071.62 and 5,424.16

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Solution

The fourth proportional to 8,046.14, 12,071.62 and 5,424.16 is: 8,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.14 : 12,071.62 = 5,424.16 : x
  2. Step 2: Convert to fraction form
    8,046.14/12,071.62 = 5,424.16/x
  3. Step 3: Cross multiply
    8,046.14x = 12,071.62 × 5,424.16
  4. Step 4: Simplify right side
    8,046.14x = 65,478,398.34
  5. Step 5: Solve for x
    x = 65,478,398.34/8,046.14
  6. Step 6: Final answer
    x = 8,137.86

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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.