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Finding the Fourth Proportional to 7,299.97, 10,074.10 and 4,114.26

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Solution

The fourth proportional to 7,299.97, 10,074.10 and 4,114.26 is: 5,677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.97 : 10,074.10 = 4,114.26 : x
  2. Step 2: Convert to fraction form
    7,299.97/10,074.10 = 4,114.26/x
  3. Step 3: Cross multiply
    7,299.97x = 10,074.10 × 4,114.26
  4. Step 4: Simplify right side
    7,299.97x = 41,447,410.02
  5. Step 5: Solve for x
    x = 41,447,410.02/7,299.97
  6. Step 6: Final answer
    x = 5,677.75

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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.