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Finding the Fourth Proportional to 7,667.30, 10,578.12 and 5,681.18

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Solution

The fourth proportional to 7,667.30, 10,578.12 and 5,681.18 is: 7,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.30 : 10,578.12 = 5,681.18 : x
  2. Step 2: Convert to fraction form
    7,667.30/10,578.12 = 5,681.18/x
  3. Step 3: Cross multiply
    7,667.30x = 10,578.12 × 5,681.18
  4. Step 4: Simplify right side
    7,667.30x = 60,096,203.78
  5. Step 5: Solve for x
    x = 60,096,203.78/7,667.30
  6. Step 6: Final answer
    x = 7,837.99

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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.