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Finding the Fourth Proportional to 10,201.23, 15,301.98 and 5,813.46

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Solution

The fourth proportional to 10,201.23, 15,301.98 and 5,813.46 is: 8,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.23 : 15,301.98 = 5,813.46 : x
  2. Step 2: Convert to fraction form
    10,201.23/15,301.98 = 5,813.46/x
  3. Step 3: Cross multiply
    10,201.23x = 15,301.98 × 5,813.46
  4. Step 4: Simplify right side
    10,201.23x = 88,957,448.65
  5. Step 5: Solve for x
    x = 88,957,448.65/10,201.23
  6. Step 6: Final answer
    x = 8,720.27

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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.