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Finding the Fourth Proportional to 10,680.52, 14,739.04 and 6,206.84

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Solution

The fourth proportional to 10,680.52, 14,739.04 and 6,206.84 is: 8,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.52 : 14,739.04 = 6,206.84 : x
  2. Step 2: Convert to fraction form
    10,680.52/14,739.04 = 6,206.84/x
  3. Step 3: Cross multiply
    10,680.52x = 14,739.04 × 6,206.84
  4. Step 4: Simplify right side
    10,680.52x = 91,482,863.03
  5. Step 5: Solve for x
    x = 91,482,863.03/10,680.52
  6. Step 6: Final answer
    x = 8,565.39

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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.