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Finding the Fourth Proportional to 10,963.50, 16,452.81 and 9,501.18

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Solution

The fourth proportional to 10,963.50, 16,452.81 and 9,501.18 is: 14,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.50 : 16,452.81 = 9,501.18 : x
  2. Step 2: Convert to fraction form
    10,963.50/16,452.81 = 9,501.18/x
  3. Step 3: Cross multiply
    10,963.50x = 16,452.81 × 9,501.18
  4. Step 4: Simplify right side
    10,963.50x = 156,321,109.32
  5. Step 5: Solve for x
    x = 156,321,109.32/10,963.50
  6. Step 6: Final answer
    x = 14,258.32

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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.