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Finding the Fourth Proportional to 7,521.57, 10,375.25 and 5,537.25

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Solution

The fourth proportional to 7,521.57, 10,375.25 and 5,537.25 is: 7,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,521.57 : 10,375.25 = 5,537.25 : x
  2. Step 2: Convert to fraction form
    7,521.57/10,375.25 = 5,537.25/x
  3. Step 3: Cross multiply
    7,521.57x = 10,375.25 × 5,537.25
  4. Step 4: Simplify right side
    7,521.57x = 57,450,325.38
  5. Step 5: Solve for x
    x = 57,450,325.38/7,521.57
  6. Step 6: Final answer
    x = 7,638.08

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Why These Related Problems?

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