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Finding the Fourth Proportional to 7,744.42, 10,689.74 and 4,949.92

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Solution

The fourth proportional to 7,744.42, 10,689.74 and 4,949.92 is: 6,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.42 : 10,689.74 = 4,949.92 : x
  2. Step 2: Convert to fraction form
    7,744.42/10,689.74 = 4,949.92/x
  3. Step 3: Cross multiply
    7,744.42x = 10,689.74 × 4,949.92
  4. Step 4: Simplify right side
    7,744.42x = 52,913,357.82
  5. Step 5: Solve for x
    x = 52,913,357.82/7,744.42
  6. Step 6: Final answer
    x = 6,832.45

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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.