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Finding the Fourth Proportional to 7,494.74, 11,243.33 and 2,815.11

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Solution

The fourth proportional to 7,494.74, 11,243.33 and 2,815.11 is: 4,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.74 : 11,243.33 = 2,815.11 : x
  2. Step 2: Convert to fraction form
    7,494.74/11,243.33 = 2,815.11/x
  3. Step 3: Cross multiply
    7,494.74x = 11,243.33 × 2,815.11
  4. Step 4: Simplify right side
    7,494.74x = 31,651,196.64
  5. Step 5: Solve for x
    x = 31,651,196.64/7,494.74
  6. Step 6: Final answer
    x = 4,223.12

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Why These Related Problems?

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