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Finding the Fourth Proportional to 8,162.25, 12,243.51 and 3,545.25

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Solution

The fourth proportional to 8,162.25, 12,243.51 and 3,545.25 is: 5,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.25 : 12,243.51 = 3,545.25 : x
  2. Step 2: Convert to fraction form
    8,162.25/12,243.51 = 3,545.25/x
  3. Step 3: Cross multiply
    8,162.25x = 12,243.51 × 3,545.25
  4. Step 4: Simplify right side
    8,162.25x = 43,406,303.83
  5. Step 5: Solve for x
    x = 43,406,303.83/8,162.25
  6. Step 6: Final answer
    x = 5,317.93

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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.