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Finding the Fourth Proportional to 7,723.98, 11,588.87 and 3,565.98

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Solution

The fourth proportional to 7,723.98, 11,588.87 and 3,565.98 is: 5,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.98 : 11,588.87 = 3,565.98 : x
  2. Step 2: Convert to fraction form
    7,723.98/11,588.87 = 3,565.98/x
  3. Step 3: Cross multiply
    7,723.98x = 11,588.87 × 3,565.98
  4. Step 4: Simplify right side
    7,723.98x = 41,325,678.64
  5. Step 5: Solve for x
    x = 41,325,678.64/7,723.98
  6. Step 6: Final answer
    x = 5,350.31

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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.