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Finding the Fourth Proportional to 5,508.54, 8,215.70 and 5,314.14

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Solution

The fourth proportional to 5,508.54, 8,215.70 and 5,314.14 is: 7,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,508.54 : 8,215.70 = 5,314.14 : x
  2. Step 2: Convert to fraction form
    5,508.54/8,215.70 = 5,314.14/x
  3. Step 3: Cross multiply
    5,508.54x = 8,215.70 × 5,314.14
  4. Step 4: Simplify right side
    5,508.54x = 43,659,353.43
  5. Step 5: Solve for x
    x = 43,659,353.43/5,508.54
  6. Step 6: Final answer
    x = 7,925.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.