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Finding the Fourth Proportional to 10,025.96, 15,040.40 and 3,101

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Solution

The fourth proportional to 10,025.96, 15,040.40 and 3,101 is: 4,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.96 : 15,040.40 = 3,101 : x
  2. Step 2: Convert to fraction form
    10,025.96/15,040.40 = 3,101/x
  3. Step 3: Cross multiply
    10,025.96x = 15,040.40 × 3,101
  4. Step 4: Simplify right side
    10,025.96x = 46,640,280.40
  5. Step 5: Solve for x
    x = 46,640,280.40/10,025.96
  6. Step 6: Final answer
    x = 4,651.95

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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.