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Finding the Fourth Proportional to 7,158.23, 9,874.22 and 4,464.77

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Solution

The fourth proportional to 7,158.23, 9,874.22 and 4,464.77 is: 6,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.23 : 9,874.22 = 4,464.77 : x
  2. Step 2: Convert to fraction form
    7,158.23/9,874.22 = 4,464.77/x
  3. Step 3: Cross multiply
    7,158.23x = 9,874.22 × 4,464.77
  4. Step 4: Simplify right side
    7,158.23x = 44,086,049.53
  5. Step 5: Solve for x
    x = 44,086,049.53/7,158.23
  6. Step 6: Final answer
    x = 6,158.80

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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.