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Finding the Fourth Proportional to 10,191.67, 14,064.22 and 5,715.70

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Solution

The fourth proportional to 10,191.67, 14,064.22 and 5,715.70 is: 7,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.67 : 14,064.22 = 5,715.70 : x
  2. Step 2: Convert to fraction form
    10,191.67/14,064.22 = 5,715.70/x
  3. Step 3: Cross multiply
    10,191.67x = 14,064.22 × 5,715.70
  4. Step 4: Simplify right side
    10,191.67x = 80,386,862.25
  5. Step 5: Solve for x
    x = 80,386,862.25/10,191.67
  6. Step 6: Final answer
    x = 7,887.51

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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.