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Finding the Fourth Proportional to 8,601.68, 11,871 and 5,065.58

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Solution

The fourth proportional to 8,601.68, 11,871 and 5,065.58 is: 6,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.68 : 11,871 = 5,065.58 : x
  2. Step 2: Convert to fraction form
    8,601.68/11,871 = 5,065.58/x
  3. Step 3: Cross multiply
    8,601.68x = 11,871 × 5,065.58
  4. Step 4: Simplify right side
    8,601.68x = 60,133,440.83
  5. Step 5: Solve for x
    x = 60,133,440.83/8,601.68
  6. Step 6: Final answer
    x = 6,990.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.