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Finding the Fourth Proportional to 10,176, 15,266.56 and 2,880

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Solution

The fourth proportional to 10,176, 15,266.56 and 2,880 is: 4,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176 : 15,266.56 = 2,880 : x
  2. Step 2: Convert to fraction form
    10,176/15,266.56 = 2,880/x
  3. Step 3: Cross multiply
    10,176x = 15,266.56 × 2,880
  4. Step 4: Simplify right side
    10,176x = 43,967,692.80
  5. Step 5: Solve for x
    x = 43,967,692.80/10,176
  6. Step 6: Final answer
    x = 4,320.72

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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.