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Finding the Fourth Proportional to 7,744.61, 11,610.38 and 3,358.76

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Solution

The fourth proportional to 7,744.61, 11,610.38 and 3,358.76 is: 5,035.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.61 : 11,610.38 = 3,358.76 : x
  2. Step 2: Convert to fraction form
    7,744.61/11,610.38 = 3,358.76/x
  3. Step 3: Cross multiply
    7,744.61x = 11,610.38 × 3,358.76
  4. Step 4: Simplify right side
    7,744.61x = 38,996,479.93
  5. Step 5: Solve for x
    x = 38,996,479.93/7,744.61
  6. Step 6: Final answer
    x = 5,035.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.