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Finding the Fourth Proportional to 8,685.14, 13,022.68 and 7,647.22

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Solution

The fourth proportional to 8,685.14, 13,022.68 and 7,647.22 is: 11,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685.14 : 13,022.68 = 7,647.22 : x
  2. Step 2: Convert to fraction form
    8,685.14/13,022.68 = 7,647.22/x
  3. Step 3: Cross multiply
    8,685.14x = 13,022.68 × 7,647.22
  4. Step 4: Simplify right side
    8,685.14x = 99,587,298.95
  5. Step 5: Solve for x
    x = 99,587,298.95/8,685.14
  6. Step 6: Final answer
    x = 11,466.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.