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Finding the Fourth Proportional to 8,429.41, 11,638.07 and 7,543.69

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Solution

The fourth proportional to 8,429.41, 11,638.07 and 7,543.69 is: 10,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.41 : 11,638.07 = 7,543.69 : x
  2. Step 2: Convert to fraction form
    8,429.41/11,638.07 = 7,543.69/x
  3. Step 3: Cross multiply
    8,429.41x = 11,638.07 × 7,543.69
  4. Step 4: Simplify right side
    8,429.41x = 87,793,954.56
  5. Step 5: Solve for x
    x = 87,793,954.56/8,429.41
  6. Step 6: Final answer
    x = 10,415.20

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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.