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Finding the Fourth Proportional to 10,201.16, 15,268.92 and 5,264.07

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Solution

The fourth proportional to 10,201.16, 15,268.92 and 5,264.07 is: 7,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.16 : 15,268.92 = 5,264.07 : x
  2. Step 2: Convert to fraction form
    10,201.16/15,268.92 = 5,264.07/x
  3. Step 3: Cross multiply
    10,201.16x = 15,268.92 × 5,264.07
  4. Step 4: Simplify right side
    10,201.16x = 80,376,663.70
  5. Step 5: Solve for x
    x = 80,376,663.70/10,201.16
  6. Step 6: Final answer
    x = 7,879.17

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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.