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Finding the Fourth Proportional to 8,222.84, 11,348.76 and 5,240

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Solution

The fourth proportional to 8,222.84, 11,348.76 and 5,240 is: 7,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.84 : 11,348.76 = 5,240 : x
  2. Step 2: Convert to fraction form
    8,222.84/11,348.76 = 5,240/x
  3. Step 3: Cross multiply
    8,222.84x = 11,348.76 × 5,240
  4. Step 4: Simplify right side
    8,222.84x = 59,467,502.40
  5. Step 5: Solve for x
    x = 59,467,502.40/8,222.84
  6. Step 6: Final answer
    x = 7,231.99

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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.