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Finding the Fourth Proportional to 7,758.90, 11,641.47 and 3,544.15

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Solution

The fourth proportional to 7,758.90, 11,641.47 and 3,544.15 is: 5,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.90 : 11,641.47 = 3,544.15 : x
  2. Step 2: Convert to fraction form
    7,758.90/11,641.47 = 3,544.15/x
  3. Step 3: Cross multiply
    7,758.90x = 11,641.47 × 3,544.15
  4. Step 4: Simplify right side
    7,758.90x = 41,259,098.18
  5. Step 5: Solve for x
    x = 41,259,098.18/7,758.90
  6. Step 6: Final answer
    x = 5,317.65

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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.