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Finding the Fourth Proportional to 7,537.25, 10,401.41 and 4,225.25

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Solution

The fourth proportional to 7,537.25, 10,401.41 and 4,225.25 is: 5,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.25 : 10,401.41 = 4,225.25 : x
  2. Step 2: Convert to fraction form
    7,537.25/10,401.41 = 4,225.25/x
  3. Step 3: Cross multiply
    7,537.25x = 10,401.41 × 4,225.25
  4. Step 4: Simplify right side
    7,537.25x = 43,948,536.48
  5. Step 5: Solve for x
    x = 43,948,536.48/7,537.25
  6. Step 6: Final answer
    x = 5,830.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.