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Finding the Fourth Proportional to 7,638.41, 10,545.77 and 5,866.49

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Solution

The fourth proportional to 7,638.41, 10,545.77 and 5,866.49 is: 8,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.41 : 10,545.77 = 5,866.49 : x
  2. Step 2: Convert to fraction form
    7,638.41/10,545.77 = 5,866.49/x
  3. Step 3: Cross multiply
    7,638.41x = 10,545.77 × 5,866.49
  4. Step 4: Simplify right side
    7,638.41x = 61,866,624.91
  5. Step 5: Solve for x
    x = 61,866,624.91/7,638.41
  6. Step 6: Final answer
    x = 8,099.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.