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Finding the Fourth Proportional to 10,894.62, 16,341.03 and 3,497.10

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Solution

The fourth proportional to 10,894.62, 16,341.03 and 3,497.10 is: 5,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.62 : 16,341.03 = 3,497.10 : x
  2. Step 2: Convert to fraction form
    10,894.62/16,341.03 = 3,497.10/x
  3. Step 3: Cross multiply
    10,894.62x = 16,341.03 × 3,497.10
  4. Step 4: Simplify right side
    10,894.62x = 57,146,216.01
  5. Step 5: Solve for x
    x = 57,146,216.01/10,894.62
  6. Step 6: Final answer
    x = 5,245.36

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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.