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Finding the Fourth Proportional to 8,497.86, 12,733.74 and 3,564.78

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Solution

The fourth proportional to 8,497.86, 12,733.74 and 3,564.78 is: 5,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.86 : 12,733.74 = 3,564.78 : x
  2. Step 2: Convert to fraction form
    8,497.86/12,733.74 = 3,564.78/x
  3. Step 3: Cross multiply
    8,497.86x = 12,733.74 × 3,564.78
  4. Step 4: Simplify right side
    8,497.86x = 45,392,981.68
  5. Step 5: Solve for x
    x = 45,392,981.68/8,497.86
  6. Step 6: Final answer
    x = 5,341.70

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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.