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Finding the Fourth Proportional to 10,525, 15,796.06 and 5,332.36

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Solution

The fourth proportional to 10,525, 15,796.06 and 5,332.36 is: 8,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525 : 15,796.06 = 5,332.36 : x
  2. Step 2: Convert to fraction form
    10,525/15,796.06 = 5,332.36/x
  3. Step 3: Cross multiply
    10,525x = 15,796.06 × 5,332.36
  4. Step 4: Simplify right side
    10,525x = 84,230,278.50
  5. Step 5: Solve for x
    x = 84,230,278.50/10,525
  6. Step 6: Final answer
    x = 8,002.88

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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.