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Finding the Fourth Proportional to 10,461.52, 15,692.28 and 3,880

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Solution

The fourth proportional to 10,461.52, 15,692.28 and 3,880 is: 5,820

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.52 : 15,692.28 = 3,880 : x
  2. Step 2: Convert to fraction form
    10,461.52/15,692.28 = 3,880/x
  3. Step 3: Cross multiply
    10,461.52x = 15,692.28 × 3,880
  4. Step 4: Simplify right side
    10,461.52x = 60,886,046.40
  5. Step 5: Solve for x
    x = 60,886,046.40/10,461.52
  6. Step 6: Final answer
    x = 5,820

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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.