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Finding the Fourth Proportional to 8,149.64, 11,246.11 and 5,005.76

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Solution

The fourth proportional to 8,149.64, 11,246.11 and 5,005.76 is: 6,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.64 : 11,246.11 = 5,005.76 : x
  2. Step 2: Convert to fraction form
    8,149.64/11,246.11 = 5,005.76/x
  3. Step 3: Cross multiply
    8,149.64x = 11,246.11 × 5,005.76
  4. Step 4: Simplify right side
    8,149.64x = 56,295,258.85
  5. Step 5: Solve for x
    x = 56,295,258.85/8,149.64
  6. Step 6: Final answer
    x = 6,907.70

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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.