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Finding the Fourth Proportional to 8,825.64, 12,179.38 and 4,847.00

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Solution

The fourth proportional to 8,825.64, 12,179.38 and 4,847.00 is: 6,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.64 : 12,179.38 = 4,847.00 : x
  2. Step 2: Convert to fraction form
    8,825.64/12,179.38 = 4,847.00/x
  3. Step 3: Cross multiply
    8,825.64x = 12,179.38 × 4,847.00
  4. Step 4: Simplify right side
    8,825.64x = 59,033,473.19
  5. Step 5: Solve for x
    x = 59,033,473.19/8,825.64
  6. Step 6: Final answer
    x = 6,688.86

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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.