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Finding the Fourth Proportional to 10,138.73, 15,208.03 and 4,134.78

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Solution

The fourth proportional to 10,138.73, 15,208.03 and 4,134.78 is: 6,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.73 : 15,208.03 = 4,134.78 : x
  2. Step 2: Convert to fraction form
    10,138.73/15,208.03 = 4,134.78/x
  3. Step 3: Cross multiply
    10,138.73x = 15,208.03 × 4,134.78
  4. Step 4: Simplify right side
    10,138.73x = 62,881,840.19
  5. Step 5: Solve for x
    x = 62,881,840.19/10,138.73
  6. Step 6: Final answer
    x = 6,202.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.