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Finding the Fourth Proportional to 6,715.31, 10,074.78 and 2,333.00

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Solution

The fourth proportional to 6,715.31, 10,074.78 and 2,333.00 is: 3,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.31 : 10,074.78 = 2,333.00 : x
  2. Step 2: Convert to fraction form
    6,715.31/10,074.78 = 2,333.00/x
  3. Step 3: Cross multiply
    6,715.31x = 10,074.78 × 2,333.00
  4. Step 4: Simplify right side
    6,715.31x = 23,504,486.93
  5. Step 5: Solve for x
    x = 23,504,486.93/6,715.31
  6. Step 6: Final answer
    x = 3,500.14

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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.