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Finding the Fourth Proportional to 10,987.84, 16,401.83 and 10,175.68

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Solution

The fourth proportional to 10,987.84, 16,401.83 and 10,175.68 is: 15,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.84 : 16,401.83 = 10,175.68 : x
  2. Step 2: Convert to fraction form
    10,987.84/16,401.83 = 10,175.68/x
  3. Step 3: Cross multiply
    10,987.84x = 16,401.83 × 10,175.68
  4. Step 4: Simplify right side
    10,987.84x = 166,899,773.49
  5. Step 5: Solve for x
    x = 166,899,773.49/10,987.84
  6. Step 6: Final answer
    x = 15,189.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.