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Finding the Fourth Proportional to 8,523.45, 11,758.91 and 6,160.41

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Solution

The fourth proportional to 8,523.45, 11,758.91 and 6,160.41 is: 8,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.45 : 11,758.91 = 6,160.41 : x
  2. Step 2: Convert to fraction form
    8,523.45/11,758.91 = 6,160.41/x
  3. Step 3: Cross multiply
    8,523.45x = 11,758.91 × 6,160.41
  4. Step 4: Simplify right side
    8,523.45x = 72,439,675.95
  5. Step 5: Solve for x
    x = 72,439,675.95/8,523.45
  6. Step 6: Final answer
    x = 8,498.87

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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.