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Finding the Fourth Proportional to 8,144.70, 11,240.04 and 4,607.82

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Solution

The fourth proportional to 8,144.70, 11,240.04 and 4,607.82 is: 6,358.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.70 : 11,240.04 = 4,607.82 : x
  2. Step 2: Convert to fraction form
    8,144.70/11,240.04 = 4,607.82/x
  3. Step 3: Cross multiply
    8,144.70x = 11,240.04 × 4,607.82
  4. Step 4: Simplify right side
    8,144.70x = 51,792,081.11
  5. Step 5: Solve for x
    x = 51,792,081.11/8,144.70
  6. Step 6: Final answer
    x = 6,358.99

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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.