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Finding the Fourth Proportional to 8,222.29, 11,343.99 and 4,683

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Solution

The fourth proportional to 8,222.29, 11,343.99 and 4,683 is: 6,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.29 : 11,343.99 = 4,683 : x
  2. Step 2: Convert to fraction form
    8,222.29/11,343.99 = 4,683/x
  3. Step 3: Cross multiply
    8,222.29x = 11,343.99 × 4,683
  4. Step 4: Simplify right side
    8,222.29x = 53,123,905.17
  5. Step 5: Solve for x
    x = 53,123,905.17/8,222.29
  6. Step 6: Final answer
    x = 6,460.96

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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.