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Finding the Fourth Proportional to 8,280.64, 11,439.84 and 6,181.12

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Solution

The fourth proportional to 8,280.64, 11,439.84 and 6,181.12 is: 8,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.64 : 11,439.84 = 6,181.12 : x
  2. Step 2: Convert to fraction form
    8,280.64/11,439.84 = 6,181.12/x
  3. Step 3: Cross multiply
    8,280.64x = 11,439.84 × 6,181.12
  4. Step 4: Simplify right side
    8,280.64x = 70,711,023.82
  5. Step 5: Solve for x
    x = 70,711,023.82/8,280.64
  6. Step 6: Final answer
    x = 8,539.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.