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Finding the Fourth Proportional to 7,187.11, 9,916.72 and 4,202.36

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Solution

The fourth proportional to 7,187.11, 9,916.72 and 4,202.36 is: 5,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.11 : 9,916.72 = 4,202.36 : x
  2. Step 2: Convert to fraction form
    7,187.11/9,916.72 = 4,202.36/x
  3. Step 3: Cross multiply
    7,187.11x = 9,916.72 × 4,202.36
  4. Step 4: Simplify right side
    7,187.11x = 41,673,627.46
  5. Step 5: Solve for x
    x = 41,673,627.46/7,187.11
  6. Step 6: Final answer
    x = 5,798.38

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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.