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Finding the Fourth Proportional to 8,248, 11,382.24 and 4,522.08

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Solution

The fourth proportional to 8,248, 11,382.24 and 4,522.08 is: 6,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248 : 11,382.24 = 4,522.08 : x
  2. Step 2: Convert to fraction form
    8,248/11,382.24 = 4,522.08/x
  3. Step 3: Cross multiply
    8,248x = 11,382.24 × 4,522.08
  4. Step 4: Simplify right side
    8,248x = 51,471,399.86
  5. Step 5: Solve for x
    x = 51,471,399.86/8,248
  6. Step 6: Final answer
    x = 6,240.47

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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.