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Finding the Fourth Proportional to 10,201.22, 15,287.47 and 8,111.95

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Solution

The fourth proportional to 10,201.22, 15,287.47 and 8,111.95 is: 12,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.22 : 15,287.47 = 8,111.95 : x
  2. Step 2: Convert to fraction form
    10,201.22/15,287.47 = 8,111.95/x
  3. Step 3: Cross multiply
    10,201.22x = 15,287.47 × 8,111.95
  4. Step 4: Simplify right side
    10,201.22x = 124,011,192.27
  5. Step 5: Solve for x
    x = 124,011,192.27/10,201.22
  6. Step 6: Final answer
    x = 12,156.51

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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.