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Finding the Fourth Proportional to 10,286.70, 14,195.65 and 5,570.98

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Solution

The fourth proportional to 10,286.70, 14,195.65 and 5,570.98 is: 7,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.70 : 14,195.65 = 5,570.98 : x
  2. Step 2: Convert to fraction form
    10,286.70/14,195.65 = 5,570.98/x
  3. Step 3: Cross multiply
    10,286.70x = 14,195.65 × 5,570.98
  4. Step 4: Simplify right side
    10,286.70x = 79,083,682.24
  5. Step 5: Solve for x
    x = 79,083,682.24/10,286.70
  6. Step 6: Final answer
    x = 7,687.95

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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.