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Finding the Fourth Proportional to 11,698.16, 17,545.62 and 3,800.66

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Solution

The fourth proportional to 11,698.16, 17,545.62 and 3,800.66 is: 5,700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.16 : 17,545.62 = 3,800.66 : x
  2. Step 2: Convert to fraction form
    11,698.16/17,545.62 = 3,800.66/x
  3. Step 3: Cross multiply
    11,698.16x = 17,545.62 × 3,800.66
  4. Step 4: Simplify right side
    11,698.16x = 66,684,936.11
  5. Step 5: Solve for x
    x = 66,684,936.11/11,698.16
  6. Step 6: Final answer
    x = 5,700.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.