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Finding the Fourth Proportional to 7,561.66, 11,291.53 and 6,177.73

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Solution

The fourth proportional to 7,561.66, 11,291.53 and 6,177.73 is: 9,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.66 : 11,291.53 = 6,177.73 : x
  2. Step 2: Convert to fraction form
    7,561.66/11,291.53 = 6,177.73/x
  3. Step 3: Cross multiply
    7,561.66x = 11,291.53 × 6,177.73
  4. Step 4: Simplify right side
    7,561.66x = 69,756,023.63
  5. Step 5: Solve for x
    x = 69,756,023.63/7,561.66
  6. Step 6: Final answer
    x = 9,224.96

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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.