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Finding the Fourth Proportional to 10,286.57, 14,195.57 and 5,570.95

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Solution

The fourth proportional to 10,286.57, 14,195.57 and 5,570.95 is: 7,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.57 : 14,195.57 = 5,570.95 : x
  2. Step 2: Convert to fraction form
    10,286.57/14,195.57 = 5,570.95/x
  3. Step 3: Cross multiply
    10,286.57x = 14,195.57 × 5,570.95
  4. Step 4: Simplify right side
    10,286.57x = 79,082,810.69
  5. Step 5: Solve for x
    x = 79,082,810.69/10,286.57
  6. Step 6: Final answer
    x = 7,687.97

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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.