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Finding the Fourth Proportional to 7,955.33, 11,932.87 and 1,951.47

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Solution

The fourth proportional to 7,955.33, 11,932.87 and 1,951.47 is: 2,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.33 : 11,932.87 = 1,951.47 : x
  2. Step 2: Convert to fraction form
    7,955.33/11,932.87 = 1,951.47/x
  3. Step 3: Cross multiply
    7,955.33x = 11,932.87 × 1,951.47
  4. Step 4: Simplify right side
    7,955.33x = 23,286,637.82
  5. Step 5: Solve for x
    x = 23,286,637.82/7,955.33
  6. Step 6: Final answer
    x = 2,927.17

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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.