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Finding the Fourth Proportional to 8,308.62, 11,453.76 and 6,537.15

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Solution

The fourth proportional to 8,308.62, 11,453.76 and 6,537.15 is: 9,011.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.62 : 11,453.76 = 6,537.15 : x
  2. Step 2: Convert to fraction form
    8,308.62/11,453.76 = 6,537.15/x
  3. Step 3: Cross multiply
    8,308.62x = 11,453.76 × 6,537.15
  4. Step 4: Simplify right side
    8,308.62x = 74,874,947.18
  5. Step 5: Solve for x
    x = 74,874,947.18/8,308.62
  6. Step 6: Final answer
    x = 9,011.72

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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.