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Finding the Fourth Proportional to 11,305.56, 15,605.82 and 8,506.20

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Solution

The fourth proportional to 11,305.56, 15,605.82 and 8,506.20 is: 11,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.56 : 15,605.82 = 8,506.20 : x
  2. Step 2: Convert to fraction form
    11,305.56/15,605.82 = 8,506.20/x
  3. Step 3: Cross multiply
    11,305.56x = 15,605.82 × 8,506.20
  4. Step 4: Simplify right side
    11,305.56x = 132,746,226.08
  5. Step 5: Solve for x
    x = 132,746,226.08/11,305.56
  6. Step 6: Final answer
    x = 11,741.68

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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.