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Finding the Fourth Proportional to 11,305.86, 15,600.56 and 6,269.82

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Solution

The fourth proportional to 11,305.86, 15,600.56 and 6,269.82 is: 8,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.86 : 15,600.56 = 6,269.82 : x
  2. Step 2: Convert to fraction form
    11,305.86/15,600.56 = 6,269.82/x
  3. Step 3: Cross multiply
    11,305.86x = 15,600.56 × 6,269.82
  4. Step 4: Simplify right side
    11,305.86x = 97,812,703.10
  5. Step 5: Solve for x
    x = 97,812,703.10/11,305.86
  6. Step 6: Final answer
    x = 8,651.50

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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.