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Finding the Fourth Proportional to 10,120.62, 15,182.28 and 9,505.50

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Solution

The fourth proportional to 10,120.62, 15,182.28 and 9,505.50 is: 14,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120.62 : 15,182.28 = 9,505.50 : x
  2. Step 2: Convert to fraction form
    10,120.62/15,182.28 = 9,505.50/x
  3. Step 3: Cross multiply
    10,120.62x = 15,182.28 × 9,505.50
  4. Step 4: Simplify right side
    10,120.62x = 144,315,162.54
  5. Step 5: Solve for x
    x = 144,315,162.54/10,120.62
  6. Step 6: Final answer
    x = 14,259.52

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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.