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Finding the Fourth Proportional to 7,547.78, 11,321.82 and 2,617.58

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Solution

The fourth proportional to 7,547.78, 11,321.82 and 2,617.58 is: 3,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.78 : 11,321.82 = 2,617.58 : x
  2. Step 2: Convert to fraction form
    7,547.78/11,321.82 = 2,617.58/x
  3. Step 3: Cross multiply
    7,547.78x = 11,321.82 × 2,617.58
  4. Step 4: Simplify right side
    7,547.78x = 29,635,797.90
  5. Step 5: Solve for x
    x = 29,635,797.90/7,547.78
  6. Step 6: Final answer
    x = 3,926.42

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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.