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Finding the Fourth Proportional to 7,889.93, 11,832.86 and 2,341.95

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Solution

The fourth proportional to 7,889.93, 11,832.86 and 2,341.95 is: 3,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.93 : 11,832.86 = 2,341.95 : x
  2. Step 2: Convert to fraction form
    7,889.93/11,832.86 = 2,341.95/x
  3. Step 3: Cross multiply
    7,889.93x = 11,832.86 × 2,341.95
  4. Step 4: Simplify right side
    7,889.93x = 27,711,954.77
  5. Step 5: Solve for x
    x = 27,711,954.77/7,889.93
  6. Step 6: Final answer
    x = 3,512.32

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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.