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Finding the Fourth Proportional to 7,199.59, 9,927.24 and 5,869.16

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Solution

The fourth proportional to 7,199.59, 9,927.24 and 5,869.16 is: 8,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.59 : 9,927.24 = 5,869.16 : x
  2. Step 2: Convert to fraction form
    7,199.59/9,927.24 = 5,869.16/x
  3. Step 3: Cross multiply
    7,199.59x = 9,927.24 × 5,869.16
  4. Step 4: Simplify right side
    7,199.59x = 58,264,559.92
  5. Step 5: Solve for x
    x = 58,264,559.92/7,199.59
  6. Step 6: Final answer
    x = 8,092.76

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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.