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Finding the Fourth Proportional to 8,744.96, 12,067.98 and 4,766.06

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Solution

The fourth proportional to 8,744.96, 12,067.98 and 4,766.06 is: 6,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744.96 : 12,067.98 = 4,766.06 : x
  2. Step 2: Convert to fraction form
    8,744.96/12,067.98 = 4,766.06/x
  3. Step 3: Cross multiply
    8,744.96x = 12,067.98 × 4,766.06
  4. Step 4: Simplify right side
    8,744.96x = 57,516,656.42
  5. Step 5: Solve for x
    x = 57,516,656.42/8,744.96
  6. Step 6: Final answer
    x = 6,577.12

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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.