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Finding the Fourth Proportional to 10,082.01, 15,129.08 and 3,512.81

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Solution

The fourth proportional to 10,082.01, 15,129.08 and 3,512.81 is: 5,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.01 : 15,129.08 = 3,512.81 : x
  2. Step 2: Convert to fraction form
    10,082.01/15,129.08 = 3,512.81/x
  3. Step 3: Cross multiply
    10,082.01x = 15,129.08 × 3,512.81
  4. Step 4: Simplify right side
    10,082.01x = 53,145,490.31
  5. Step 5: Solve for x
    x = 53,145,490.31/10,082.01
  6. Step 6: Final answer
    x = 5,271.32

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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.