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Finding the Fourth Proportional to 7,943.64, 11,915.94 and 2,678.22

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Solution

The fourth proportional to 7,943.64, 11,915.94 and 2,678.22 is: 4,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.64 : 11,915.94 = 2,678.22 : x
  2. Step 2: Convert to fraction form
    7,943.64/11,915.94 = 2,678.22/x
  3. Step 3: Cross multiply
    7,943.64x = 11,915.94 × 2,678.22
  4. Step 4: Simplify right side
    7,943.64x = 31,913,508.83
  5. Step 5: Solve for x
    x = 31,913,508.83/7,943.64
  6. Step 6: Final answer
    x = 4,017.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.