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Finding the Fourth Proportional to 7,083.77, 9,775.62 and 4,099.82

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Solution

The fourth proportional to 7,083.77, 9,775.62 and 4,099.82 is: 5,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.77 : 9,775.62 = 4,099.82 : x
  2. Step 2: Convert to fraction form
    7,083.77/9,775.62 = 4,099.82/x
  3. Step 3: Cross multiply
    7,083.77x = 9,775.62 × 4,099.82
  4. Step 4: Simplify right side
    7,083.77x = 40,078,233.51
  5. Step 5: Solve for x
    x = 40,078,233.51/7,083.77
  6. Step 6: Final answer
    x = 5,657.76

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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.