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Finding the Fourth Proportional to 10,894.86, 16,342.50 and 3,103.92

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Solution

The fourth proportional to 10,894.86, 16,342.50 and 3,103.92 is: 4,655.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.86 : 16,342.50 = 3,103.92 : x
  2. Step 2: Convert to fraction form
    10,894.86/16,342.50 = 3,103.92/x
  3. Step 3: Cross multiply
    10,894.86x = 16,342.50 × 3,103.92
  4. Step 4: Simplify right side
    10,894.86x = 50,725,812.60
  5. Step 5: Solve for x
    x = 50,725,812.60/10,894.86
  6. Step 6: Final answer
    x = 4,655.94

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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.