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Finding the Fourth Proportional to 7,962, 11,943 and 4,499.52

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Solution

The fourth proportional to 7,962, 11,943 and 4,499.52 is: 6,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962 : 11,943 = 4,499.52 : x
  2. Step 2: Convert to fraction form
    7,962/11,943 = 4,499.52/x
  3. Step 3: Cross multiply
    7,962x = 11,943 × 4,499.52
  4. Step 4: Simplify right side
    7,962x = 53,737,767.36
  5. Step 5: Solve for x
    x = 53,737,767.36/7,962
  6. Step 6: Final answer
    x = 6,749.28

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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.