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Finding the Fourth Proportional to 10,082.02, 15,123.01 and 2,686.50

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Solution

The fourth proportional to 10,082.02, 15,123.01 and 2,686.50 is: 4,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.02 : 15,123.01 = 2,686.50 : x
  2. Step 2: Convert to fraction form
    10,082.02/15,123.01 = 2,686.50/x
  3. Step 3: Cross multiply
    10,082.02x = 15,123.01 × 2,686.50
  4. Step 4: Simplify right side
    10,082.02x = 40,627,966.37
  5. Step 5: Solve for x
    x = 40,627,966.37/10,082.02
  6. Step 6: Final answer
    x = 4,029.74

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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.