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Finding the Fourth Proportional to 6,946.66, 10,424.09 and 3,615.13

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Solution

The fourth proportional to 6,946.66, 10,424.09 and 3,615.13 is: 5,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.66 : 10,424.09 = 3,615.13 : x
  2. Step 2: Convert to fraction form
    6,946.66/10,424.09 = 3,615.13/x
  3. Step 3: Cross multiply
    6,946.66x = 10,424.09 × 3,615.13
  4. Step 4: Simplify right side
    6,946.66x = 37,684,462.55
  5. Step 5: Solve for x
    x = 37,684,462.55/6,946.66
  6. Step 6: Final answer
    x = 5,424.83

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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.