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Finding the Fourth Proportional to 11,607.62, 16,031.72 and 7,824.26

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Solution

The fourth proportional to 11,607.62, 16,031.72 and 7,824.26 is: 10,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.62 : 16,031.72 = 7,824.26 : x
  2. Step 2: Convert to fraction form
    11,607.62/16,031.72 = 7,824.26/x
  3. Step 3: Cross multiply
    11,607.62x = 16,031.72 × 7,824.26
  4. Step 4: Simplify right side
    11,607.62x = 125,436,345.53
  5. Step 5: Solve for x
    x = 125,436,345.53/11,607.62
  6. Step 6: Final answer
    x = 10,806.38

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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.