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Finding the Fourth Proportional to 7,617.50, 11,364.79 and 6,786.44

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Solution

The fourth proportional to 7,617.50, 11,364.79 and 6,786.44 is: 10,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.50 : 11,364.79 = 6,786.44 : x
  2. Step 2: Convert to fraction form
    7,617.50/11,364.79 = 6,786.44/x
  3. Step 3: Cross multiply
    7,617.50x = 11,364.79 × 6,786.44
  4. Step 4: Simplify right side
    7,617.50x = 77,126,465.45
  5. Step 5: Solve for x
    x = 77,126,465.45/7,617.50
  6. Step 6: Final answer
    x = 10,124.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.