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Finding the Fourth Proportional to 8,132.25, 11,230.01 and 6,539.19

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Solution

The fourth proportional to 8,132.25, 11,230.01 and 6,539.19 is: 9,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.25 : 11,230.01 = 6,539.19 : x
  2. Step 2: Convert to fraction form
    8,132.25/11,230.01 = 6,539.19/x
  3. Step 3: Cross multiply
    8,132.25x = 11,230.01 × 6,539.19
  4. Step 4: Simplify right side
    8,132.25x = 73,435,136.40
  5. Step 5: Solve for x
    x = 73,435,136.40/8,132.25
  6. Step 6: Final answer
    x = 9,030.11

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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.