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Finding the Fourth Proportional to 7,601.78, 11,407.78 and 5,723.68

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Solution

The fourth proportional to 7,601.78, 11,407.78 and 5,723.68 is: 8,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.78 : 11,407.78 = 5,723.68 : x
  2. Step 2: Convert to fraction form
    7,601.78/11,407.78 = 5,723.68/x
  3. Step 3: Cross multiply
    7,601.78x = 11,407.78 × 5,723.68
  4. Step 4: Simplify right side
    7,601.78x = 65,294,482.23
  5. Step 5: Solve for x
    x = 65,294,482.23/7,601.78
  6. Step 6: Final answer
    x = 8,589.37

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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.