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Finding the Fourth Proportional to 8,534.16, 11,770.92 and 6,522.12

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Solution

The fourth proportional to 8,534.16, 11,770.92 and 6,522.12 is: 8,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.16 : 11,770.92 = 6,522.12 : x
  2. Step 2: Convert to fraction form
    8,534.16/11,770.92 = 6,522.12/x
  3. Step 3: Cross multiply
    8,534.16x = 11,770.92 × 6,522.12
  4. Step 4: Simplify right side
    8,534.16x = 76,771,352.75
  5. Step 5: Solve for x
    x = 76,771,352.75/8,534.16
  6. Step 6: Final answer
    x = 8,995.77

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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.