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Finding the Fourth Proportional to 11,512.68, 17,266.51 and 4,117.65

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Solution

The fourth proportional to 11,512.68, 17,266.51 and 4,117.65 is: 6,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.68 : 17,266.51 = 4,117.65 : x
  2. Step 2: Convert to fraction form
    11,512.68/17,266.51 = 4,117.65/x
  3. Step 3: Cross multiply
    11,512.68x = 17,266.51 × 4,117.65
  4. Step 4: Simplify right side
    11,512.68x = 71,097,444.90
  5. Step 5: Solve for x
    x = 71,097,444.90/11,512.68
  6. Step 6: Final answer
    x = 6,175.58

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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.