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Finding the Fourth Proportional to 8,404.86, 12,603.64 and 2,856.71

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Solution

The fourth proportional to 8,404.86, 12,603.64 and 2,856.71 is: 4,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.86 : 12,603.64 = 2,856.71 : x
  2. Step 2: Convert to fraction form
    8,404.86/12,603.64 = 2,856.71/x
  3. Step 3: Cross multiply
    8,404.86x = 12,603.64 × 2,856.71
  4. Step 4: Simplify right side
    8,404.86x = 36,004,979.50
  5. Step 5: Solve for x
    x = 36,004,979.50/8,404.86
  6. Step 6: Final answer
    x = 4,283.83

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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.