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Finding the Fourth Proportional to 7,605.75, 11,412.63 and 5,398.83

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Solution

The fourth proportional to 7,605.75, 11,412.63 and 5,398.83 is: 8,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.75 : 11,412.63 = 5,398.83 : x
  2. Step 2: Convert to fraction form
    7,605.75/11,412.63 = 5,398.83/x
  3. Step 3: Cross multiply
    7,605.75x = 11,412.63 × 5,398.83
  4. Step 4: Simplify right side
    7,605.75x = 61,614,849.22
  5. Step 5: Solve for x
    x = 61,614,849.22/7,605.75
  6. Step 6: Final answer
    x = 8,101.09

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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.