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Finding the Fourth Proportional to 7,496.94, 11,250.42 and 3,114.38

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Solution

The fourth proportional to 7,496.94, 11,250.42 and 3,114.38 is: 4,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.94 : 11,250.42 = 3,114.38 : x
  2. Step 2: Convert to fraction form
    7,496.94/11,250.42 = 3,114.38/x
  3. Step 3: Cross multiply
    7,496.94x = 11,250.42 × 3,114.38
  4. Step 4: Simplify right side
    7,496.94x = 35,038,083.04
  5. Step 5: Solve for x
    x = 35,038,083.04/7,496.94
  6. Step 6: Final answer
    x = 4,673.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.