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Finding the Fourth Proportional to 7,187.22, 9,917.73 and 4,000.38

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Solution

The fourth proportional to 7,187.22, 9,917.73 and 4,000.38 is: 5,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.22 : 9,917.73 = 4,000.38 : x
  2. Step 2: Convert to fraction form
    7,187.22/9,917.73 = 4,000.38/x
  3. Step 3: Cross multiply
    7,187.22x = 9,917.73 × 4,000.38
  4. Step 4: Simplify right side
    7,187.22x = 39,674,688.74
  5. Step 5: Solve for x
    x = 39,674,688.74/7,187.22
  6. Step 6: Final answer
    x = 5,520.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.