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Finding the Fourth Proportional to 8,297.60, 11,444.34 and 6,616.84

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Solution

The fourth proportional to 8,297.60, 11,444.34 and 6,616.84 is: 9,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.60 : 11,444.34 = 6,616.84 : x
  2. Step 2: Convert to fraction form
    8,297.60/11,444.34 = 6,616.84/x
  3. Step 3: Cross multiply
    8,297.60x = 11,444.34 × 6,616.84
  4. Step 4: Simplify right side
    8,297.60x = 75,725,366.69
  5. Step 5: Solve for x
    x = 75,725,366.69/8,297.60
  6. Step 6: Final answer
    x = 9,126.18

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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.