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Finding the Fourth Proportional to 11,305.92, 15,602.67 and 6,269.80

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Solution

The fourth proportional to 11,305.92, 15,602.67 and 6,269.80 is: 8,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.92 : 15,602.67 = 6,269.80 : x
  2. Step 2: Convert to fraction form
    11,305.92/15,602.67 = 6,269.80/x
  3. Step 3: Cross multiply
    11,305.92x = 15,602.67 × 6,269.80
  4. Step 4: Simplify right side
    11,305.92x = 97,825,595.24
  5. Step 5: Solve for x
    x = 97,825,595.24/11,305.92
  6. Step 6: Final answer
    x = 8,652.60

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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.