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Finding the Fourth Proportional to 10,881.96, 16,322.94 and 5,037

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Solution

The fourth proportional to 10,881.96, 16,322.94 and 5,037 is: 7,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.96 : 16,322.94 = 5,037 : x
  2. Step 2: Convert to fraction form
    10,881.96/16,322.94 = 5,037/x
  3. Step 3: Cross multiply
    10,881.96x = 16,322.94 × 5,037
  4. Step 4: Simplify right side
    10,881.96x = 82,218,648.78
  5. Step 5: Solve for x
    x = 82,218,648.78/10,881.96
  6. Step 6: Final answer
    x = 7,555.50

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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.