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Finding the Fourth Proportional to 7,878.66, 11,820.69 and 2,688.18

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Solution

The fourth proportional to 7,878.66, 11,820.69 and 2,688.18 is: 4,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.66 : 11,820.69 = 2,688.18 : x
  2. Step 2: Convert to fraction form
    7,878.66/11,820.69 = 2,688.18/x
  3. Step 3: Cross multiply
    7,878.66x = 11,820.69 × 2,688.18
  4. Step 4: Simplify right side
    7,878.66x = 31,776,142.44
  5. Step 5: Solve for x
    x = 31,776,142.44/7,878.66
  6. Step 6: Final answer
    x = 4,033.19

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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.