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Finding the Fourth Proportional to 7,375.24, 10,165.94 and 5,779.16

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Solution

The fourth proportional to 7,375.24, 10,165.94 and 5,779.16 is: 7,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375.24 : 10,165.94 = 5,779.16 : x
  2. Step 2: Convert to fraction form
    7,375.24/10,165.94 = 5,779.16/x
  3. Step 3: Cross multiply
    7,375.24x = 10,165.94 × 5,779.16
  4. Step 4: Simplify right side
    7,375.24x = 58,750,593.81
  5. Step 5: Solve for x
    x = 58,750,593.81/7,375.24
  6. Step 6: Final answer
    x = 7,965.92

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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.