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Finding the Fourth Proportional to 7,347.91, 11,022.65 and 2,417.56

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Solution

The fourth proportional to 7,347.91, 11,022.65 and 2,417.56 is: 3,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.91 : 11,022.65 = 2,417.56 : x
  2. Step 2: Convert to fraction form
    7,347.91/11,022.65 = 2,417.56/x
  3. Step 3: Cross multiply
    7,347.91x = 11,022.65 × 2,417.56
  4. Step 4: Simplify right side
    7,347.91x = 26,647,917.73
  5. Step 5: Solve for x
    x = 26,647,917.73/7,347.91
  6. Step 6: Final answer
    x = 3,626.60

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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.