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Finding the Fourth Proportional to 11,332, 16,994.76 and 4,759.66

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Solution

The fourth proportional to 11,332, 16,994.76 and 4,759.66 is: 7,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332 : 16,994.76 = 4,759.66 : x
  2. Step 2: Convert to fraction form
    11,332/16,994.76 = 4,759.66/x
  3. Step 3: Cross multiply
    11,332x = 16,994.76 × 4,759.66
  4. Step 4: Simplify right side
    11,332x = 80,889,279.38
  5. Step 5: Solve for x
    x = 80,889,279.38/11,332
  6. Step 6: Final answer
    x = 7,138.13

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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.