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Finding the Fourth Proportional to 7,647.51, 11,471.37 and 2,967.78

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Solution

The fourth proportional to 7,647.51, 11,471.37 and 2,967.78 is: 4,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.51 : 11,471.37 = 2,967.78 : x
  2. Step 2: Convert to fraction form
    7,647.51/11,471.37 = 2,967.78/x
  3. Step 3: Cross multiply
    7,647.51x = 11,471.37 × 2,967.78
  4. Step 4: Simplify right side
    7,647.51x = 34,044,502.46
  5. Step 5: Solve for x
    x = 34,044,502.46/7,647.51
  6. Step 6: Final answer
    x = 4,451.71

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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.