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Finding the Fourth Proportional to 8,223.84, 12,335.85 and 6,572.61

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Solution

The fourth proportional to 8,223.84, 12,335.85 and 6,572.61 is: 9,858.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.84 : 12,335.85 = 6,572.61 : x
  2. Step 2: Convert to fraction form
    8,223.84/12,335.85 = 6,572.61/x
  3. Step 3: Cross multiply
    8,223.84x = 12,335.85 × 6,572.61
  4. Step 4: Simplify right side
    8,223.84x = 81,078,731.07
  5. Step 5: Solve for x
    x = 81,078,731.07/8,223.84
  6. Step 6: Final answer
    x = 9,858.99

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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.