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Finding the Fourth Proportional to 8,023.05, 11,075.49 and 5,724.90

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Solution

The fourth proportional to 8,023.05, 11,075.49 and 5,724.90 is: 7,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.05 : 11,075.49 = 5,724.90 : x
  2. Step 2: Convert to fraction form
    8,023.05/11,075.49 = 5,724.90/x
  3. Step 3: Cross multiply
    8,023.05x = 11,075.49 × 5,724.90
  4. Step 4: Simplify right side
    8,023.05x = 63,406,072.70
  5. Step 5: Solve for x
    x = 63,406,072.70/8,023.05
  6. Step 6: Final answer
    x = 7,902.99

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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.