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Finding the Fourth Proportional to 7,759.29, 11,640.74 and 2,565.16

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Solution

The fourth proportional to 7,759.29, 11,640.74 and 2,565.16 is: 3,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.29 : 11,640.74 = 2,565.16 : x
  2. Step 2: Convert to fraction form
    7,759.29/11,640.74 = 2,565.16/x
  3. Step 3: Cross multiply
    7,759.29x = 11,640.74 × 2,565.16
  4. Step 4: Simplify right side
    7,759.29x = 29,860,367.03
  5. Step 5: Solve for x
    x = 29,860,367.03/7,759.29
  6. Step 6: Final answer
    x = 3,848.34

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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.