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Finding the Fourth Proportional to 10,121.34, 15,183.62 and 4,278

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Solution

The fourth proportional to 10,121.34, 15,183.62 and 4,278 is: 6,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.34 : 15,183.62 = 4,278 : x
  2. Step 2: Convert to fraction form
    10,121.34/15,183.62 = 4,278/x
  3. Step 3: Cross multiply
    10,121.34x = 15,183.62 × 4,278
  4. Step 4: Simplify right side
    10,121.34x = 64,955,526.36
  5. Step 5: Solve for x
    x = 64,955,526.36/10,121.34
  6. Step 6: Final answer
    x = 6,417.68

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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.