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Finding the Fourth Proportional to 7,437.84, 10,268.28 and 5,083.44

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Solution

The fourth proportional to 7,437.84, 10,268.28 and 5,083.44 is: 7,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.84 : 10,268.28 = 5,083.44 : x
  2. Step 2: Convert to fraction form
    7,437.84/10,268.28 = 5,083.44/x
  3. Step 3: Cross multiply
    7,437.84x = 10,268.28 × 5,083.44
  4. Step 4: Simplify right side
    7,437.84x = 52,198,185.28
  5. Step 5: Solve for x
    x = 52,198,185.28/7,437.84
  6. Step 6: Final answer
    x = 7,017.92

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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.