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Finding the Fourth Proportional to 7,012.85, 10,509.24 and 5,149.34

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Solution

The fourth proportional to 7,012.85, 10,509.24 and 5,149.34 is: 7,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.85 : 10,509.24 = 5,149.34 : x
  2. Step 2: Convert to fraction form
    7,012.85/10,509.24 = 5,149.34/x
  3. Step 3: Cross multiply
    7,012.85x = 10,509.24 × 5,149.34
  4. Step 4: Simplify right side
    7,012.85x = 54,115,656.08
  5. Step 5: Solve for x
    x = 54,115,656.08/7,012.85
  6. Step 6: Final answer
    x = 7,716.65

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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.