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Finding the Fourth Proportional to 10,123.47, 15,186.72 and 2,728.50

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Solution

The fourth proportional to 10,123.47, 15,186.72 and 2,728.50 is: 4,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.47 : 15,186.72 = 2,728.50 : x
  2. Step 2: Convert to fraction form
    10,123.47/15,186.72 = 2,728.50/x
  3. Step 3: Cross multiply
    10,123.47x = 15,186.72 × 2,728.50
  4. Step 4: Simplify right side
    10,123.47x = 41,436,965.52
  5. Step 5: Solve for x
    x = 41,436,965.52/10,123.47
  6. Step 6: Final answer
    x = 4,093.16

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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.