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Finding the Fourth Proportional to 7,107.24, 10,662.12 and 3,416.16

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Solution

The fourth proportional to 7,107.24, 10,662.12 and 3,416.16 is: 5,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.24 : 10,662.12 = 3,416.16 : x
  2. Step 2: Convert to fraction form
    7,107.24/10,662.12 = 3,416.16/x
  3. Step 3: Cross multiply
    7,107.24x = 10,662.12 × 3,416.16
  4. Step 4: Simplify right side
    7,107.24x = 36,423,507.86
  5. Step 5: Solve for x
    x = 36,423,507.86/7,107.24
  6. Step 6: Final answer
    x = 5,124.85

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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.