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Finding the Fourth Proportional to 8,856.84, 13,267.98 and 3,914.76

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Solution

The fourth proportional to 8,856.84, 13,267.98 and 3,914.76 is: 5,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,856.84 : 13,267.98 = 3,914.76 : x
  2. Step 2: Convert to fraction form
    8,856.84/13,267.98 = 3,914.76/x
  3. Step 3: Cross multiply
    8,856.84x = 13,267.98 × 3,914.76
  4. Step 4: Simplify right side
    8,856.84x = 51,940,957.38
  5. Step 5: Solve for x
    x = 51,940,957.38/8,856.84
  6. Step 6: Final answer
    x = 5,864.50

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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.