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Finding the Fourth Proportional to 10,608.68, 14,641.38 and 6,416.12

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Solution

The fourth proportional to 10,608.68, 14,641.38 and 6,416.12 is: 8,855.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.68 : 14,641.38 = 6,416.12 : x
  2. Step 2: Convert to fraction form
    10,608.68/14,641.38 = 6,416.12/x
  3. Step 3: Cross multiply
    10,608.68x = 14,641.38 × 6,416.12
  4. Step 4: Simplify right side
    10,608.68x = 93,940,851.05
  5. Step 5: Solve for x
    x = 93,940,851.05/10,608.68
  6. Step 6: Final answer
    x = 8,855.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.