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Finding the Fourth Proportional to 10,162.88, 15,320.49 and 9,485.52

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Solution

The fourth proportional to 10,162.88, 15,320.49 and 9,485.52 is: 14,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.88 : 15,320.49 = 9,485.52 : x
  2. Step 2: Convert to fraction form
    10,162.88/15,320.49 = 9,485.52/x
  3. Step 3: Cross multiply
    10,162.88x = 15,320.49 × 9,485.52
  4. Step 4: Simplify right side
    10,162.88x = 145,322,814.30
  5. Step 5: Solve for x
    x = 145,322,814.30/10,162.88
  6. Step 6: Final answer
    x = 14,299.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.