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Finding the Fourth Proportional to 7,434.69, 11,219.51 and 7,186.83

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Solution

The fourth proportional to 7,434.69, 11,219.51 and 7,186.83 is: 10,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.69 : 11,219.51 = 7,186.83 : x
  2. Step 2: Convert to fraction form
    7,434.69/11,219.51 = 7,186.83/x
  3. Step 3: Cross multiply
    7,434.69x = 11,219.51 × 7,186.83
  4. Step 4: Simplify right side
    7,434.69x = 80,632,675.12
  5. Step 5: Solve for x
    x = 80,632,675.12/7,434.69
  6. Step 6: Final answer
    x = 10,845.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.