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Finding the Fourth Proportional to 6,679.68, 9,975.93 and 5,681.86

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Solution

The fourth proportional to 6,679.68, 9,975.93 and 5,681.86 is: 8,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.68 : 9,975.93 = 5,681.86 : x
  2. Step 2: Convert to fraction form
    6,679.68/9,975.93 = 5,681.86/x
  3. Step 3: Cross multiply
    6,679.68x = 9,975.93 × 5,681.86
  4. Step 4: Simplify right side
    6,679.68x = 56,681,837.63
  5. Step 5: Solve for x
    x = 56,681,837.63/6,679.68
  6. Step 6: Final answer
    x = 8,485.71

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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.