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Finding the Fourth Proportional to 7,545.93, 10,414.63 and 4,189.82

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Solution

The fourth proportional to 7,545.93, 10,414.63 and 4,189.82 is: 5,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.93 : 10,414.63 = 4,189.82 : x
  2. Step 2: Convert to fraction form
    7,545.93/10,414.63 = 4,189.82/x
  3. Step 3: Cross multiply
    7,545.93x = 10,414.63 × 4,189.82
  4. Step 4: Simplify right side
    7,545.93x = 43,635,425.07
  5. Step 5: Solve for x
    x = 43,635,425.07/7,545.93
  6. Step 6: Final answer
    x = 5,782.64

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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.