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Finding the Fourth Proportional to 8,329.48, 11,506.50 and 6,661.96

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Solution

The fourth proportional to 8,329.48, 11,506.50 and 6,661.96 is: 9,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.48 : 11,506.50 = 6,661.96 : x
  2. Step 2: Convert to fraction form
    8,329.48/11,506.50 = 6,661.96/x
  3. Step 3: Cross multiply
    8,329.48x = 11,506.50 × 6,661.96
  4. Step 4: Simplify right side
    8,329.48x = 76,655,842.74
  5. Step 5: Solve for x
    x = 76,655,842.74/8,329.48
  6. Step 6: Final answer
    x = 9,202.96

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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.