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Finding the Fourth Proportional to 11,170.23, 16,748.95 and 4,591

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Solution

The fourth proportional to 11,170.23, 16,748.95 and 4,591 is: 6,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170.23 : 16,748.95 = 4,591 : x
  2. Step 2: Convert to fraction form
    11,170.23/16,748.95 = 4,591/x
  3. Step 3: Cross multiply
    11,170.23x = 16,748.95 × 4,591
  4. Step 4: Simplify right side
    11,170.23x = 76,894,429.45
  5. Step 5: Solve for x
    x = 76,894,429.45/11,170.23
  6. Step 6: Final answer
    x = 6,883.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.