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Finding the Fourth Proportional to 7,257.93, 10,015.02 and 4,114.11

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Solution

The fourth proportional to 7,257.93, 10,015.02 and 4,114.11 is: 5,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.93 : 10,015.02 = 4,114.11 : x
  2. Step 2: Convert to fraction form
    7,257.93/10,015.02 = 4,114.11/x
  3. Step 3: Cross multiply
    7,257.93x = 10,015.02 × 4,114.11
  4. Step 4: Simplify right side
    7,257.93x = 41,202,893.93
  5. Step 5: Solve for x
    x = 41,202,893.93/7,257.93
  6. Step 6: Final answer
    x = 5,676.95

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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.