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Finding the Fourth Proportional to 6,995.34, 10,477.14 and 5,422.74

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Solution

The fourth proportional to 6,995.34, 10,477.14 and 5,422.74 is: 8,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.34 : 10,477.14 = 5,422.74 : x
  2. Step 2: Convert to fraction form
    6,995.34/10,477.14 = 5,422.74/x
  3. Step 3: Cross multiply
    6,995.34x = 10,477.14 × 5,422.74
  4. Step 4: Simplify right side
    6,995.34x = 56,814,806.16
  5. Step 5: Solve for x
    x = 56,814,806.16/6,995.34
  6. Step 6: Final answer
    x = 8,121.81

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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.