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Finding the Fourth Proportional to 8,523.52, 12,708.80 and 8,368

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Solution

The fourth proportional to 8,523.52, 12,708.80 and 8,368 is: 12,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.52 : 12,708.80 = 8,368 : x
  2. Step 2: Convert to fraction form
    8,523.52/12,708.80 = 8,368/x
  3. Step 3: Cross multiply
    8,523.52x = 12,708.80 × 8,368
  4. Step 4: Simplify right side
    8,523.52x = 106,347,238.40
  5. Step 5: Solve for x
    x = 106,347,238.40/8,523.52
  6. Step 6: Final answer
    x = 12,476.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.