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Finding the Fourth Proportional to 10,189.60, 14,060.90 and 5,651.94

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Solution

The fourth proportional to 10,189.60, 14,060.90 and 5,651.94 is: 7,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.60 : 14,060.90 = 5,651.94 : x
  2. Step 2: Convert to fraction form
    10,189.60/14,060.90 = 5,651.94/x
  3. Step 3: Cross multiply
    10,189.60x = 14,060.90 × 5,651.94
  4. Step 4: Simplify right side
    10,189.60x = 79,471,363.15
  5. Step 5: Solve for x
    x = 79,471,363.15/10,189.60
  6. Step 6: Final answer
    x = 7,799.26

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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.