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Finding the Fourth Proportional to 7,440.67, 10,264.21 and 5,669.20

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Solution

The fourth proportional to 7,440.67, 10,264.21 and 5,669.20 is: 7,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440.67 : 10,264.21 = 5,669.20 : x
  2. Step 2: Convert to fraction form
    7,440.67/10,264.21 = 5,669.20/x
  3. Step 3: Cross multiply
    7,440.67x = 10,264.21 × 5,669.20
  4. Step 4: Simplify right side
    7,440.67x = 58,189,859.33
  5. Step 5: Solve for x
    x = 58,189,859.33/7,440.67
  6. Step 6: Final answer
    x = 7,820.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.