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Finding the Fourth Proportional to 7,654.68, 10,561.14 and 4,297.14

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Solution

The fourth proportional to 7,654.68, 10,561.14 and 4,297.14 is: 5,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.68 : 10,561.14 = 4,297.14 : x
  2. Step 2: Convert to fraction form
    7,654.68/10,561.14 = 4,297.14/x
  3. Step 3: Cross multiply
    7,654.68x = 10,561.14 × 4,297.14
  4. Step 4: Simplify right side
    7,654.68x = 45,382,697.14
  5. Step 5: Solve for x
    x = 45,382,697.14/7,654.68
  6. Step 6: Final answer
    x = 5,928.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.