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Finding the Fourth Proportional to 10,894.61, 16,333.95 and 3,494.86

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Solution

The fourth proportional to 10,894.61, 16,333.95 and 3,494.86 is: 5,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.61 : 16,333.95 = 3,494.86 : x
  2. Step 2: Convert to fraction form
    10,894.61/16,333.95 = 3,494.86/x
  3. Step 3: Cross multiply
    10,894.61x = 16,333.95 × 3,494.86
  4. Step 4: Simplify right side
    10,894.61x = 57,084,868.50
  5. Step 5: Solve for x
    x = 57,084,868.50/10,894.61
  6. Step 6: Final answer
    x = 5,239.73

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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.