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Finding the Fourth Proportional to 10,047.85, 15,072.05 and 3,806.69

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Solution

The fourth proportional to 10,047.85, 15,072.05 and 3,806.69 is: 5,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.85 : 15,072.05 = 3,806.69 : x
  2. Step 2: Convert to fraction form
    10,047.85/15,072.05 = 3,806.69/x
  3. Step 3: Cross multiply
    10,047.85x = 15,072.05 × 3,806.69
  4. Step 4: Simplify right side
    10,047.85x = 57,374,556.17
  5. Step 5: Solve for x
    x = 57,374,556.17/10,047.85
  6. Step 6: Final answer
    x = 5,710.13

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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.