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Finding the Fourth Proportional to 8,176.38, 11,289.72 and 6,285

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Solution

The fourth proportional to 8,176.38, 11,289.72 and 6,285 is: 8,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.38 : 11,289.72 = 6,285 : x
  2. Step 2: Convert to fraction form
    8,176.38/11,289.72 = 6,285/x
  3. Step 3: Cross multiply
    8,176.38x = 11,289.72 × 6,285
  4. Step 4: Simplify right side
    8,176.38x = 70,955,890.20
  5. Step 5: Solve for x
    x = 70,955,890.20/8,176.38
  6. Step 6: Final answer
    x = 8,678.15

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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.