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Finding the Fourth Proportional to 7,723.36, 10,658.36 and 4,538.92

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Solution

The fourth proportional to 7,723.36, 10,658.36 and 4,538.92 is: 6,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.36 : 10,658.36 = 4,538.92 : x
  2. Step 2: Convert to fraction form
    7,723.36/10,658.36 = 4,538.92/x
  3. Step 3: Cross multiply
    7,723.36x = 10,658.36 × 4,538.92
  4. Step 4: Simplify right side
    7,723.36x = 48,377,443.37
  5. Step 5: Solve for x
    x = 48,377,443.37/7,723.36
  6. Step 6: Final answer
    x = 6,263.78

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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.