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Finding the Fourth Proportional to 7,807.25, 10,773.73 and 4,451.14

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Solution

The fourth proportional to 7,807.25, 10,773.73 and 4,451.14 is: 6,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.25 : 10,773.73 = 4,451.14 : x
  2. Step 2: Convert to fraction form
    7,807.25/10,773.73 = 4,451.14/x
  3. Step 3: Cross multiply
    7,807.25x = 10,773.73 × 4,451.14
  4. Step 4: Simplify right side
    7,807.25x = 47,955,442.40
  5. Step 5: Solve for x
    x = 47,955,442.40/7,807.25
  6. Step 6: Final answer
    x = 6,142.42

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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.