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Finding the Fourth Proportional to 10,894.97, 16,343.02 and 3,498.85

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Solution

The fourth proportional to 10,894.97, 16,343.02 and 3,498.85 is: 5,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.97 : 16,343.02 = 3,498.85 : x
  2. Step 2: Convert to fraction form
    10,894.97/16,343.02 = 3,498.85/x
  3. Step 3: Cross multiply
    10,894.97x = 16,343.02 × 3,498.85
  4. Step 4: Simplify right side
    10,894.97x = 57,181,693.81
  5. Step 5: Solve for x
    x = 57,181,693.81/10,894.97
  6. Step 6: Final answer
    x = 5,248.45

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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.