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Finding the Fourth Proportional to 8,536.25, 11,780.07 and 4,759.65

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Solution

The fourth proportional to 8,536.25, 11,780.07 and 4,759.65 is: 6,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.25 : 11,780.07 = 4,759.65 : x
  2. Step 2: Convert to fraction form
    8,536.25/11,780.07 = 4,759.65/x
  3. Step 3: Cross multiply
    8,536.25x = 11,780.07 × 4,759.65
  4. Step 4: Simplify right side
    8,536.25x = 56,069,010.18
  5. Step 5: Solve for x
    x = 56,069,010.18/8,536.25
  6. Step 6: Final answer
    x = 6,568.34

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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.