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Finding the Fourth Proportional to 10,894.74, 16,345.30 and 3,499.04

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Solution

The fourth proportional to 10,894.74, 16,345.30 and 3,499.04 is: 5,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.74 : 16,345.30 = 3,499.04 : x
  2. Step 2: Convert to fraction form
    10,894.74/16,345.30 = 3,499.04/x
  3. Step 3: Cross multiply
    10,894.74x = 16,345.30 × 3,499.04
  4. Step 4: Simplify right side
    10,894.74x = 57,192,858.51
  5. Step 5: Solve for x
    x = 57,192,858.51/10,894.74
  6. Step 6: Final answer
    x = 5,249.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.