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Finding the Fourth Proportional to 7,296.52, 10,072.26 and 5,200.12

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Solution

The fourth proportional to 7,296.52, 10,072.26 and 5,200.12 is: 7,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.52 : 10,072.26 = 5,200.12 : x
  2. Step 2: Convert to fraction form
    7,296.52/10,072.26 = 5,200.12/x
  3. Step 3: Cross multiply
    7,296.52x = 10,072.26 × 5,200.12
  4. Step 4: Simplify right side
    7,296.52x = 52,376,960.67
  5. Step 5: Solve for x
    x = 52,376,960.67/7,296.52
  6. Step 6: Final answer
    x = 7,178.35

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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.