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Finding the Fourth Proportional to 8,123.92, 11,205.85 and 6,232.63

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Solution

The fourth proportional to 8,123.92, 11,205.85 and 6,232.63 is: 8,597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.92 : 11,205.85 = 6,232.63 : x
  2. Step 2: Convert to fraction form
    8,123.92/11,205.85 = 6,232.63/x
  3. Step 3: Cross multiply
    8,123.92x = 11,205.85 × 6,232.63
  4. Step 4: Simplify right side
    8,123.92x = 69,841,916.89
  5. Step 5: Solve for x
    x = 69,841,916.89/8,123.92
  6. Step 6: Final answer
    x = 8,597.07

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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.