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Finding the Fourth Proportional to 10,588.67, 15,881.17 and 3,924.39

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Solution

The fourth proportional to 10,588.67, 15,881.17 and 3,924.39 is: 5,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.67 : 15,881.17 = 3,924.39 : x
  2. Step 2: Convert to fraction form
    10,588.67/15,881.17 = 3,924.39/x
  3. Step 3: Cross multiply
    10,588.67x = 15,881.17 × 3,924.39
  4. Step 4: Simplify right side
    10,588.67x = 62,323,904.74
  5. Step 5: Solve for x
    x = 62,323,904.74/10,588.67
  6. Step 6: Final answer
    x = 5,885.90

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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.