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Finding the Fourth Proportional to 7,525.40, 11,283.17 and 3,822.48

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Solution

The fourth proportional to 7,525.40, 11,283.17 and 3,822.48 is: 5,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.40 : 11,283.17 = 3,822.48 : x
  2. Step 2: Convert to fraction form
    7,525.40/11,283.17 = 3,822.48/x
  3. Step 3: Cross multiply
    7,525.40x = 11,283.17 × 3,822.48
  4. Step 4: Simplify right side
    7,525.40x = 43,129,672.55
  5. Step 5: Solve for x
    x = 43,129,672.55/7,525.40
  6. Step 6: Final answer
    x = 5,731.22

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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.