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Finding the Fourth Proportional to 8,342.13, 11,512.02 and 4,565.22

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Solution

The fourth proportional to 8,342.13, 11,512.02 and 4,565.22 is: 6,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.13 : 11,512.02 = 4,565.22 : x
  2. Step 2: Convert to fraction form
    8,342.13/11,512.02 = 4,565.22/x
  3. Step 3: Cross multiply
    8,342.13x = 11,512.02 × 4,565.22
  4. Step 4: Simplify right side
    8,342.13x = 52,554,903.94
  5. Step 5: Solve for x
    x = 52,554,903.94/8,342.13
  6. Step 6: Final answer
    x = 6,299.94

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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.