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Finding the Fourth Proportional to 10,054.33, 15,081.76 and 3,813.18

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Solution

The fourth proportional to 10,054.33, 15,081.76 and 3,813.18 is: 5,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.33 : 15,081.76 = 3,813.18 : x
  2. Step 2: Convert to fraction form
    10,054.33/15,081.76 = 3,813.18/x
  3. Step 3: Cross multiply
    10,054.33x = 15,081.76 × 3,813.18
  4. Step 4: Simplify right side
    10,054.33x = 57,509,413.81
  5. Step 5: Solve for x
    x = 57,509,413.81/10,054.33
  6. Step 6: Final answer
    x = 5,719.87

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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.