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Finding the Fourth Proportional to 10,288.59, 14,198.13 and 5,572.82

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Solution

The fourth proportional to 10,288.59, 14,198.13 and 5,572.82 is: 7,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.59 : 14,198.13 = 5,572.82 : x
  2. Step 2: Convert to fraction form
    10,288.59/14,198.13 = 5,572.82/x
  3. Step 3: Cross multiply
    10,288.59x = 14,198.13 × 5,572.82
  4. Step 4: Simplify right side
    10,288.59x = 79,123,551.84
  5. Step 5: Solve for x
    x = 79,123,551.84/10,288.59
  6. Step 6: Final answer
    x = 7,690.42

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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.