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Finding the Fourth Proportional to 7,027.52, 10,544.72 and 3,078.24

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Solution

The fourth proportional to 7,027.52, 10,544.72 and 3,078.24 is: 4,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.52 : 10,544.72 = 3,078.24 : x
  2. Step 2: Convert to fraction form
    7,027.52/10,544.72 = 3,078.24/x
  3. Step 3: Cross multiply
    7,027.52x = 10,544.72 × 3,078.24
  4. Step 4: Simplify right side
    7,027.52x = 32,459,123.96
  5. Step 5: Solve for x
    x = 32,459,123.96/7,027.52
  6. Step 6: Final answer
    x = 4,618.86

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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.