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Finding the Fourth Proportional to 7,286.85, 10,031.53 and 6,952.09

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Solution

The fourth proportional to 7,286.85, 10,031.53 and 6,952.09 is: 9,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.85 : 10,031.53 = 6,952.09 : x
  2. Step 2: Convert to fraction form
    7,286.85/10,031.53 = 6,952.09/x
  3. Step 3: Cross multiply
    7,286.85x = 10,031.53 × 6,952.09
  4. Step 4: Simplify right side
    7,286.85x = 69,740,099.40
  5. Step 5: Solve for x
    x = 69,740,099.40/7,286.85
  6. Step 6: Final answer
    x = 9,570.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.