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Finding the Fourth Proportional to 6,755.68, 10,117.76 and 6,522.08

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Solution

The fourth proportional to 6,755.68, 10,117.76 and 6,522.08 is: 9,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.68 : 10,117.76 = 6,522.08 : x
  2. Step 2: Convert to fraction form
    6,755.68/10,117.76 = 6,522.08/x
  3. Step 3: Cross multiply
    6,755.68x = 10,117.76 × 6,522.08
  4. Step 4: Simplify right side
    6,755.68x = 65,988,840.14
  5. Step 5: Solve for x
    x = 65,988,840.14/6,755.68
  6. Step 6: Final answer
    x = 9,767.90

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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.