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Finding the Fourth Proportional to 7,101.16, 10,635.32 and 6,855.12

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Solution

The fourth proportional to 7,101.16, 10,635.32 and 6,855.12 is: 10,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.16 : 10,635.32 = 6,855.12 : x
  2. Step 2: Convert to fraction form
    7,101.16/10,635.32 = 6,855.12/x
  3. Step 3: Cross multiply
    7,101.16x = 10,635.32 × 6,855.12
  4. Step 4: Simplify right side
    7,101.16x = 72,906,394.84
  5. Step 5: Solve for x
    x = 72,906,394.84/7,101.16
  6. Step 6: Final answer
    x = 10,266.83

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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.