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Finding the Fourth Proportional to 8,116.32, 11,200.14 and 4,579.86

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Solution

The fourth proportional to 8,116.32, 11,200.14 and 4,579.86 is: 6,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.32 : 11,200.14 = 4,579.86 : x
  2. Step 2: Convert to fraction form
    8,116.32/11,200.14 = 4,579.86/x
  3. Step 3: Cross multiply
    8,116.32x = 11,200.14 × 4,579.86
  4. Step 4: Simplify right side
    8,116.32x = 51,295,073.18
  5. Step 5: Solve for x
    x = 51,295,073.18/8,116.32
  6. Step 6: Final answer
    x = 6,319.99

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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.