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Finding the Fourth Proportional to 7,758.65, 11,617.31 and 5,298.27

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Solution

The fourth proportional to 7,758.65, 11,617.31 and 5,298.27 is: 7,933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.65 : 11,617.31 = 5,298.27 : x
  2. Step 2: Convert to fraction form
    7,758.65/11,617.31 = 5,298.27/x
  3. Step 3: Cross multiply
    7,758.65x = 11,617.31 × 5,298.27
  4. Step 4: Simplify right side
    7,758.65x = 61,551,645.05
  5. Step 5: Solve for x
    x = 61,551,645.05/7,758.65
  6. Step 6: Final answer
    x = 7,933.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.