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Finding the Fourth Proportional to 10,853.88, 16,259.78 and 7,144.94

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Solution

The fourth proportional to 10,853.88, 16,259.78 and 7,144.94 is: 10,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.88 : 16,259.78 = 7,144.94 : x
  2. Step 2: Convert to fraction form
    10,853.88/16,259.78 = 7,144.94/x
  3. Step 3: Cross multiply
    10,853.88x = 16,259.78 × 7,144.94
  4. Step 4: Simplify right side
    10,853.88x = 116,175,035.49
  5. Step 5: Solve for x
    x = 116,175,035.49/10,853.88
  6. Step 6: Final answer
    x = 10,703.55

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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.