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Finding the Fourth Proportional to 7,776.15, 11,654.51 and 6,126.18

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Solution

The fourth proportional to 7,776.15, 11,654.51 and 6,126.18 is: 9,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.15 : 11,654.51 = 6,126.18 : x
  2. Step 2: Convert to fraction form
    7,776.15/11,654.51 = 6,126.18/x
  3. Step 3: Cross multiply
    7,776.15x = 11,654.51 × 6,126.18
  4. Step 4: Simplify right side
    7,776.15x = 71,397,595.44
  5. Step 5: Solve for x
    x = 71,397,595.44/7,776.15
  6. Step 6: Final answer
    x = 9,181.61

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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.