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Finding the Fourth Proportional to 7,638.78, 10,541.19 and 4,452.24

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Solution

The fourth proportional to 7,638.78, 10,541.19 and 4,452.24 is: 6,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.78 : 10,541.19 = 4,452.24 : x
  2. Step 2: Convert to fraction form
    7,638.78/10,541.19 = 4,452.24/x
  3. Step 3: Cross multiply
    7,638.78x = 10,541.19 × 4,452.24
  4. Step 4: Simplify right side
    7,638.78x = 46,931,907.77
  5. Step 5: Solve for x
    x = 46,931,907.77/7,638.78
  6. Step 6: Final answer
    x = 6,143.90

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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.