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Finding the Fourth Proportional to 10,716.68, 16,079.63 and 5,785.34

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Solution

The fourth proportional to 10,716.68, 16,079.63 and 5,785.34 is: 8,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.68 : 16,079.63 = 5,785.34 : x
  2. Step 2: Convert to fraction form
    10,716.68/16,079.63 = 5,785.34/x
  3. Step 3: Cross multiply
    10,716.68x = 16,079.63 × 5,785.34
  4. Step 4: Simplify right side
    10,716.68x = 93,026,126.62
  5. Step 5: Solve for x
    x = 93,026,126.62/10,716.68
  6. Step 6: Final answer
    x = 8,680.50

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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.