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Finding the Fourth Proportional to 8,681.22, 11,972.61 and 7,002

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Solution

The fourth proportional to 8,681.22, 11,972.61 and 7,002 is: 9,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.22 : 11,972.61 = 7,002 : x
  2. Step 2: Convert to fraction form
    8,681.22/11,972.61 = 7,002/x
  3. Step 3: Cross multiply
    8,681.22x = 11,972.61 × 7,002
  4. Step 4: Simplify right side
    8,681.22x = 83,832,215.22
  5. Step 5: Solve for x
    x = 83,832,215.22/8,681.22
  6. Step 6: Final answer
    x = 9,656.73

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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.