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Finding the Fourth Proportional to 7,648.62, 10,561.32 and 6,232.52

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Solution

The fourth proportional to 7,648.62, 10,561.32 and 6,232.52 is: 8,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.62 : 10,561.32 = 6,232.52 : x
  2. Step 2: Convert to fraction form
    7,648.62/10,561.32 = 6,232.52/x
  3. Step 3: Cross multiply
    7,648.62x = 10,561.32 × 6,232.52
  4. Step 4: Simplify right side
    7,648.62x = 65,823,638.13
  5. Step 5: Solve for x
    x = 65,823,638.13/7,648.62
  6. Step 6: Final answer
    x = 8,605.95

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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.