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Finding the Fourth Proportional to 6,967.62, 10,499.37 and 5,762.14

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Solution

The fourth proportional to 6,967.62, 10,499.37 and 5,762.14 is: 8,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.62 : 10,499.37 = 5,762.14 : x
  2. Step 2: Convert to fraction form
    6,967.62/10,499.37 = 5,762.14/x
  3. Step 3: Cross multiply
    6,967.62x = 10,499.37 × 5,762.14
  4. Step 4: Simplify right side
    6,967.62x = 60,498,824.41
  5. Step 5: Solve for x
    x = 60,498,824.41/6,967.62
  6. Step 6: Final answer
    x = 8,682.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.