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Finding the Fourth Proportional to 11,158.35, 16,742.07 and 4,918.11

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Solution

The fourth proportional to 11,158.35, 16,742.07 and 4,918.11 is: 7,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,158.35 : 16,742.07 = 4,918.11 : x
  2. Step 2: Convert to fraction form
    11,158.35/16,742.07 = 4,918.11/x
  3. Step 3: Cross multiply
    11,158.35x = 16,742.07 × 4,918.11
  4. Step 4: Simplify right side
    11,158.35x = 82,339,341.89
  5. Step 5: Solve for x
    x = 82,339,341.89/11,158.35
  6. Step 6: Final answer
    x = 7,379.17

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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.