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Finding the Fourth Proportional to 8,538.90, 11,770.22 and 6,411.36

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Solution

The fourth proportional to 8,538.90, 11,770.22 and 6,411.36 is: 8,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.90 : 11,770.22 = 6,411.36 : x
  2. Step 2: Convert to fraction form
    8,538.90/11,770.22 = 6,411.36/x
  3. Step 3: Cross multiply
    8,538.90x = 11,770.22 × 6,411.36
  4. Step 4: Simplify right side
    8,538.90x = 75,463,085.64
  5. Step 5: Solve for x
    x = 75,463,085.64/8,538.90
  6. Step 6: Final answer
    x = 8,837.57

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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.