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Finding the Fourth Proportional to 8,545.50, 11,786.31 and 5,897.34

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Solution

The fourth proportional to 8,545.50, 11,786.31 and 5,897.34 is: 8,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,545.50 : 11,786.31 = 5,897.34 : x
  2. Step 2: Convert to fraction form
    8,545.50/11,786.31 = 5,897.34/x
  3. Step 3: Cross multiply
    8,545.50x = 11,786.31 × 5,897.34
  4. Step 4: Simplify right side
    8,545.50x = 69,507,877.42
  5. Step 5: Solve for x
    x = 69,507,877.42/8,545.50
  6. Step 6: Final answer
    x = 8,133.86

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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.