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Finding the Fourth Proportional to 7,083.80, 9,774.96 and 4,099.04

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Solution

The fourth proportional to 7,083.80, 9,774.96 and 4,099.04 is: 5,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.80 : 9,774.96 = 4,099.04 : x
  2. Step 2: Convert to fraction form
    7,083.80/9,774.96 = 4,099.04/x
  3. Step 3: Cross multiply
    7,083.80x = 9,774.96 × 4,099.04
  4. Step 4: Simplify right side
    7,083.80x = 40,067,952.04
  5. Step 5: Solve for x
    x = 40,067,952.04/7,083.80
  6. Step 6: Final answer
    x = 5,656.28

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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.