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Finding the Fourth Proportional to 10,781.84, 16,173.72 and 4,213.52

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Solution

The fourth proportional to 10,781.84, 16,173.72 and 4,213.52 is: 6,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.84 : 16,173.72 = 4,213.52 : x
  2. Step 2: Convert to fraction form
    10,781.84/16,173.72 = 4,213.52/x
  3. Step 3: Cross multiply
    10,781.84x = 16,173.72 × 4,213.52
  4. Step 4: Simplify right side
    10,781.84x = 68,148,292.69
  5. Step 5: Solve for x
    x = 68,148,292.69/10,781.84
  6. Step 6: Final answer
    x = 6,320.66

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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.