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Finding the Fourth Proportional to 10,832.58, 16,246.08 and 4,258.80

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Solution

The fourth proportional to 10,832.58, 16,246.08 and 4,258.80 is: 6,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.58 : 16,246.08 = 4,258.80 : x
  2. Step 2: Convert to fraction form
    10,832.58/16,246.08 = 4,258.80/x
  3. Step 3: Cross multiply
    10,832.58x = 16,246.08 × 4,258.80
  4. Step 4: Simplify right side
    10,832.58x = 69,188,805.50
  5. Step 5: Solve for x
    x = 69,188,805.50/10,832.58
  6. Step 6: Final answer
    x = 6,387.10

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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.