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Finding the Fourth Proportional to 11,599.62, 15,981.21 and 11,046.66

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Solution

The fourth proportional to 11,599.62, 15,981.21 and 11,046.66 is: 15,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.62 : 15,981.21 = 11,046.66 : x
  2. Step 2: Convert to fraction form
    11,599.62/15,981.21 = 11,046.66/x
  3. Step 3: Cross multiply
    11,599.62x = 15,981.21 × 11,046.66
  4. Step 4: Simplify right side
    11,599.62x = 176,538,993.26
  5. Step 5: Solve for x
    x = 176,538,993.26/11,599.62
  6. Step 6: Final answer
    x = 15,219.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.