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Finding the Fourth Proportional to 7,742.96, 10,690.12 and 5,324.48

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Solution

The fourth proportional to 7,742.96, 10,690.12 and 5,324.48 is: 7,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.96 : 10,690.12 = 5,324.48 : x
  2. Step 2: Convert to fraction form
    7,742.96/10,690.12 = 5,324.48/x
  3. Step 3: Cross multiply
    7,742.96x = 10,690.12 × 5,324.48
  4. Step 4: Simplify right side
    7,742.96x = 56,919,330.14
  5. Step 5: Solve for x
    x = 56,919,330.14/7,742.96
  6. Step 6: Final answer
    x = 7,351.11

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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.