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Finding the Fourth Proportional to 7,589.76, 11,331.66 and 6,548.64

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Solution

The fourth proportional to 7,589.76, 11,331.66 and 6,548.64 is: 9,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.76 : 11,331.66 = 6,548.64 : x
  2. Step 2: Convert to fraction form
    7,589.76/11,331.66 = 6,548.64/x
  3. Step 3: Cross multiply
    7,589.76x = 11,331.66 × 6,548.64
  4. Step 4: Simplify right side
    7,589.76x = 74,206,961.94
  5. Step 5: Solve for x
    x = 74,206,961.94/7,589.76
  6. Step 6: Final answer
    x = 9,777.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.