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Finding the Fourth Proportional to 10,771.49, 14,868.72 and 6,296.70

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Solution

The fourth proportional to 10,771.49, 14,868.72 and 6,296.70 is: 8,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.49 : 14,868.72 = 6,296.70 : x
  2. Step 2: Convert to fraction form
    10,771.49/14,868.72 = 6,296.70/x
  3. Step 3: Cross multiply
    10,771.49x = 14,868.72 × 6,296.70
  4. Step 4: Simplify right side
    10,771.49x = 93,623,869.22
  5. Step 5: Solve for x
    x = 93,623,869.22/10,771.49
  6. Step 6: Final answer
    x = 8,691.82

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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.