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Finding the Fourth Proportional to 7,002.86, 10,505.91 and 3,107.57

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Solution

The fourth proportional to 7,002.86, 10,505.91 and 3,107.57 is: 4,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.86 : 10,505.91 = 3,107.57 : x
  2. Step 2: Convert to fraction form
    7,002.86/10,505.91 = 3,107.57/x
  3. Step 3: Cross multiply
    7,002.86x = 10,505.91 × 3,107.57
  4. Step 4: Simplify right side
    7,002.86x = 32,647,850.74
  5. Step 5: Solve for x
    x = 32,647,850.74/7,002.86
  6. Step 6: Final answer
    x = 4,662.07

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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.