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Finding the Fourth Proportional to 7,507.80, 11,256.30 and 4,221.90

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Solution

The fourth proportional to 7,507.80, 11,256.30 and 4,221.90 is: 6,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.80 : 11,256.30 = 4,221.90 : x
  2. Step 2: Convert to fraction form
    7,507.80/11,256.30 = 4,221.90/x
  3. Step 3: Cross multiply
    7,507.80x = 11,256.30 × 4,221.90
  4. Step 4: Simplify right side
    7,507.80x = 47,522,972.97
  5. Step 5: Solve for x
    x = 47,522,972.97/7,507.80
  6. Step 6: Final answer
    x = 6,329.81

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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.