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Finding the Fourth Proportional to 7,951.56, 11,904.66 and 6,310.50

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Solution

The fourth proportional to 7,951.56, 11,904.66 and 6,310.50 is: 9,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.56 : 11,904.66 = 6,310.50 : x
  2. Step 2: Convert to fraction form
    7,951.56/11,904.66 = 6,310.50/x
  3. Step 3: Cross multiply
    7,951.56x = 11,904.66 × 6,310.50
  4. Step 4: Simplify right side
    7,951.56x = 75,124,356.93
  5. Step 5: Solve for x
    x = 75,124,356.93/7,951.56
  6. Step 6: Final answer
    x = 9,447.75

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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.