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Finding the Fourth Proportional to 7,654.76, 11,405.21 and 7,151.84

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Solution

The fourth proportional to 7,654.76, 11,405.21 and 7,151.84 is: 10,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.76 : 11,405.21 = 7,151.84 : x
  2. Step 2: Convert to fraction form
    7,654.76/11,405.21 = 7,151.84/x
  3. Step 3: Cross multiply
    7,654.76x = 11,405.21 × 7,151.84
  4. Step 4: Simplify right side
    7,654.76x = 81,568,237.09
  5. Step 5: Solve for x
    x = 81,568,237.09/7,654.76
  6. Step 6: Final answer
    x = 10,655.88

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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.