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Finding the Fourth Proportional to 7,496.77, 11,246.52 and 3,114.57

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Solution

The fourth proportional to 7,496.77, 11,246.52 and 3,114.57 is: 4,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.77 : 11,246.52 = 3,114.57 : x
  2. Step 2: Convert to fraction form
    7,496.77/11,246.52 = 3,114.57/x
  3. Step 3: Cross multiply
    7,496.77x = 11,246.52 × 3,114.57
  4. Step 4: Simplify right side
    7,496.77x = 35,028,073.80
  5. Step 5: Solve for x
    x = 35,028,073.80/7,496.77
  6. Step 6: Final answer
    x = 4,672.42

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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.