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Finding the Fourth Proportional to 12,141.86, 16,756.55 and 7,362.26

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Solution

The fourth proportional to 12,141.86, 16,756.55 and 7,362.26 is: 10,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.86 : 16,756.55 = 7,362.26 : x
  2. Step 2: Convert to fraction form
    12,141.86/16,756.55 = 7,362.26/x
  3. Step 3: Cross multiply
    12,141.86x = 16,756.55 × 7,362.26
  4. Step 4: Simplify right side
    12,141.86x = 123,366,082.88
  5. Step 5: Solve for x
    x = 123,366,082.88/12,141.86
  6. Step 6: Final answer
    x = 10,160.39

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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.