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Finding the Fourth Proportional to 10,470.88, 15,692.28 and 5,535.28

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Solution

The fourth proportional to 10,470.88, 15,692.28 and 5,535.28 is: 8,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.88 : 15,692.28 = 5,535.28 : x
  2. Step 2: Convert to fraction form
    10,470.88/15,692.28 = 5,535.28/x
  3. Step 3: Cross multiply
    10,470.88x = 15,692.28 × 5,535.28
  4. Step 4: Simplify right side
    10,470.88x = 86,861,163.64
  5. Step 5: Solve for x
    x = 86,861,163.64/10,470.88
  6. Step 6: Final answer
    x = 8,295.50

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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.