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Finding the Fourth Proportional to 11,332.36, 16,992 and 4,398.76

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Solution

The fourth proportional to 11,332.36, 16,992 and 4,398.76 is: 6,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.36 : 16,992 = 4,398.76 : x
  2. Step 2: Convert to fraction form
    11,332.36/16,992 = 4,398.76/x
  3. Step 3: Cross multiply
    11,332.36x = 16,992 × 4,398.76
  4. Step 4: Simplify right side
    11,332.36x = 74,743,729.92
  5. Step 5: Solve for x
    x = 74,743,729.92/11,332.36
  6. Step 6: Final answer
    x = 6,595.60

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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.