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Finding the Fourth Proportional to 10,191.66, 14,065.20 and 5,715.60

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Solution

The fourth proportional to 10,191.66, 14,065.20 and 5,715.60 is: 7,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.66 : 14,065.20 = 5,715.60 : x
  2. Step 2: Convert to fraction form
    10,191.66/14,065.20 = 5,715.60/x
  3. Step 3: Cross multiply
    10,191.66x = 14,065.20 × 5,715.60
  4. Step 4: Simplify right side
    10,191.66x = 80,391,057.12
  5. Step 5: Solve for x
    x = 80,391,057.12/10,191.66
  6. Step 6: Final answer
    x = 7,887.93

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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.