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Finding the Fourth Proportional to 7,024.11, 9,692.22 and 4,040.07

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Solution

The fourth proportional to 7,024.11, 9,692.22 and 4,040.07 is: 5,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.11 : 9,692.22 = 4,040.07 : x
  2. Step 2: Convert to fraction form
    7,024.11/9,692.22 = 4,040.07/x
  3. Step 3: Cross multiply
    7,024.11x = 9,692.22 × 4,040.07
  4. Step 4: Simplify right side
    7,024.11x = 39,157,247.26
  5. Step 5: Solve for x
    x = 39,157,247.26/7,024.11
  6. Step 6: Final answer
    x = 5,574.69

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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.