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Finding the Fourth Proportional to 10,191.59, 14,064.37 and 6,212.70

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Solution

The fourth proportional to 10,191.59, 14,064.37 and 6,212.70 is: 8,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.59 : 14,064.37 = 6,212.70 : x
  2. Step 2: Convert to fraction form
    10,191.59/14,064.37 = 6,212.70/x
  3. Step 3: Cross multiply
    10,191.59x = 14,064.37 × 6,212.70
  4. Step 4: Simplify right side
    10,191.59x = 87,377,695.97
  5. Step 5: Solve for x
    x = 87,377,695.97/10,191.59
  6. Step 6: Final answer
    x = 8,573.51

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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.