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Finding the Fourth Proportional to 10,386.80, 15,547.80 and 8,183.60

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Solution

The fourth proportional to 10,386.80, 15,547.80 and 8,183.60 is: 12,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.80 : 15,547.80 = 8,183.60 : x
  2. Step 2: Convert to fraction form
    10,386.80/15,547.80 = 8,183.60/x
  3. Step 3: Cross multiply
    10,386.80x = 15,547.80 × 8,183.60
  4. Step 4: Simplify right side
    10,386.80x = 127,236,976.08
  5. Step 5: Solve for x
    x = 127,236,976.08/10,386.80
  6. Step 6: Final answer
    x = 12,249.87

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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.