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Finding the Fourth Proportional to 7,126.12, 10,689.89 and 5,822.22

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Solution

The fourth proportional to 7,126.12, 10,689.89 and 5,822.22 is: 8,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.12 : 10,689.89 = 5,822.22 : x
  2. Step 2: Convert to fraction form
    7,126.12/10,689.89 = 5,822.22/x
  3. Step 3: Cross multiply
    7,126.12x = 10,689.89 × 5,822.22
  4. Step 4: Simplify right side
    7,126.12x = 62,238,918.08
  5. Step 5: Solve for x
    x = 62,238,918.08/7,126.12
  6. Step 6: Final answer
    x = 8,733.91

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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.