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Finding the Fourth Proportional to 11,878.88, 16,377.96 and 7,622.43

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Solution

The fourth proportional to 11,878.88, 16,377.96 and 7,622.43 is: 10,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.88 : 16,377.96 = 7,622.43 : x
  2. Step 2: Convert to fraction form
    11,878.88/16,377.96 = 7,622.43/x
  3. Step 3: Cross multiply
    11,878.88x = 16,377.96 × 7,622.43
  4. Step 4: Simplify right side
    11,878.88x = 124,839,853.64
  5. Step 5: Solve for x
    x = 124,839,853.64/11,878.88
  6. Step 6: Final answer
    x = 10,509.40

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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.