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Finding the Fourth Proportional to 10,083.96, 15,127.38 and 3,159

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Solution

The fourth proportional to 10,083.96, 15,127.38 and 3,159 is: 4,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.96 : 15,127.38 = 3,159 : x
  2. Step 2: Convert to fraction form
    10,083.96/15,127.38 = 3,159/x
  3. Step 3: Cross multiply
    10,083.96x = 15,127.38 × 3,159
  4. Step 4: Simplify right side
    10,083.96x = 47,787,393.42
  5. Step 5: Solve for x
    x = 47,787,393.42/10,083.96
  6. Step 6: Final answer
    x = 4,738.95

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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.