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Finding the Fourth Proportional to 7,216.54, 10,822.38 and 5,826.58

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Solution

The fourth proportional to 7,216.54, 10,822.38 and 5,826.58 is: 8,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.54 : 10,822.38 = 5,826.58 : x
  2. Step 2: Convert to fraction form
    7,216.54/10,822.38 = 5,826.58/x
  3. Step 3: Cross multiply
    7,216.54x = 10,822.38 × 5,826.58
  4. Step 4: Simplify right side
    7,216.54x = 63,057,462.86
  5. Step 5: Solve for x
    x = 63,057,462.86/7,216.54
  6. Step 6: Final answer
    x = 8,737.91

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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.