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Finding the Fourth Proportional to 10,466.52, 15,699.78 and 3,885

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Solution

The fourth proportional to 10,466.52, 15,699.78 and 3,885 is: 5,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.52 : 15,699.78 = 3,885 : x
  2. Step 2: Convert to fraction form
    10,466.52/15,699.78 = 3,885/x
  3. Step 3: Cross multiply
    10,466.52x = 15,699.78 × 3,885
  4. Step 4: Simplify right side
    10,466.52x = 60,993,645.30
  5. Step 5: Solve for x
    x = 60,993,645.30/10,466.52
  6. Step 6: Final answer
    x = 5,827.50

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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.