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Finding the Fourth Proportional to 7,917, 10,924.92 and 4,380

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Solution

The fourth proportional to 7,917, 10,924.92 and 4,380 is: 6,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917 : 10,924.92 = 4,380 : x
  2. Step 2: Convert to fraction form
    7,917/10,924.92 = 4,380/x
  3. Step 3: Cross multiply
    7,917x = 10,924.92 × 4,380
  4. Step 4: Simplify right side
    7,917x = 47,851,149.60
  5. Step 5: Solve for x
    x = 47,851,149.60/7,917
  6. Step 6: Final answer
    x = 6,044.10

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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.