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Finding the Fourth Proportional to 10,895.86, 16,344 and 3,104.92

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Solution

The fourth proportional to 10,895.86, 16,344 and 3,104.92 is: 4,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.86 : 16,344 = 3,104.92 : x
  2. Step 2: Convert to fraction form
    10,895.86/16,344 = 3,104.92/x
  3. Step 3: Cross multiply
    10,895.86x = 16,344 × 3,104.92
  4. Step 4: Simplify right side
    10,895.86x = 50,746,812.48
  5. Step 5: Solve for x
    x = 50,746,812.48/10,895.86
  6. Step 6: Final answer
    x = 4,657.44

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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.