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Finding the Fourth Proportional to 7,744.08, 10,686.92 and 4,432.08

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Solution

The fourth proportional to 7,744.08, 10,686.92 and 4,432.08 is: 6,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.08 : 10,686.92 = 4,432.08 : x
  2. Step 2: Convert to fraction form
    7,744.08/10,686.92 = 4,432.08/x
  3. Step 3: Cross multiply
    7,744.08x = 10,686.92 × 4,432.08
  4. Step 4: Simplify right side
    7,744.08x = 47,365,284.39
  5. Step 5: Solve for x
    x = 47,365,284.39/7,744.08
  6. Step 6: Final answer
    x = 6,116.32

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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.