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Finding the Fourth Proportional to 7,895.94, 11,832.62 and 5,799.50

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Solution

The fourth proportional to 7,895.94, 11,832.62 and 5,799.50 is: 8,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.94 : 11,832.62 = 5,799.50 : x
  2. Step 2: Convert to fraction form
    7,895.94/11,832.62 = 5,799.50/x
  3. Step 3: Cross multiply
    7,895.94x = 11,832.62 × 5,799.50
  4. Step 4: Simplify right side
    7,895.94x = 68,623,279.69
  5. Step 5: Solve for x
    x = 68,623,279.69/7,895.94
  6. Step 6: Final answer
    x = 8,690.96

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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.