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Finding the Fourth Proportional to 10,608.50, 14,641.08 and 6,416.78

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Solution

The fourth proportional to 10,608.50, 14,641.08 and 6,416.78 is: 8,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.50 : 14,641.08 = 6,416.78 : x
  2. Step 2: Convert to fraction form
    10,608.50/14,641.08 = 6,416.78/x
  3. Step 3: Cross multiply
    10,608.50x = 14,641.08 × 6,416.78
  4. Step 4: Simplify right side
    10,608.50x = 93,948,589.32
  5. Step 5: Solve for x
    x = 93,948,589.32/10,608.50
  6. Step 6: Final answer
    x = 8,855.97

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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.