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Finding the Fourth Proportional to 10,887, 16,332.42 and 3,491.64

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Solution

The fourth proportional to 10,887, 16,332.42 and 3,491.64 is: 5,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,887 : 16,332.42 = 3,491.64 : x
  2. Step 2: Convert to fraction form
    10,887/16,332.42 = 3,491.64/x
  3. Step 3: Cross multiply
    10,887x = 16,332.42 × 3,491.64
  4. Step 4: Simplify right side
    10,887x = 57,026,930.97
  5. Step 5: Solve for x
    x = 57,026,930.97/10,887
  6. Step 6: Final answer
    x = 5,238.08

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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.