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Finding the Fourth Proportional to 7,453.75, 10,286.18 and 4,310.14

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Solution

The fourth proportional to 7,453.75, 10,286.18 and 4,310.14 is: 5,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.75 : 10,286.18 = 4,310.14 : x
  2. Step 2: Convert to fraction form
    7,453.75/10,286.18 = 4,310.14/x
  3. Step 3: Cross multiply
    7,453.75x = 10,286.18 × 4,310.14
  4. Step 4: Simplify right side
    7,453.75x = 44,334,875.87
  5. Step 5: Solve for x
    x = 44,334,875.87/7,453.75
  6. Step 6: Final answer
    x = 5,948.00

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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.