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Finding the Fourth Proportional to 8,089.90, 11,161.06 and 5,970.53

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Solution

The fourth proportional to 8,089.90, 11,161.06 and 5,970.53 is: 8,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.90 : 11,161.06 = 5,970.53 : x
  2. Step 2: Convert to fraction form
    8,089.90/11,161.06 = 5,970.53/x
  3. Step 3: Cross multiply
    8,089.90x = 11,161.06 × 5,970.53
  4. Step 4: Simplify right side
    8,089.90x = 66,637,456.54
  5. Step 5: Solve for x
    x = 66,637,456.54/8,089.90
  6. Step 6: Final answer
    x = 8,237.12

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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.