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Finding the Fourth Proportional to 6,205.18, 8,538.12 and 6,057.55

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Solution

The fourth proportional to 6,205.18, 8,538.12 and 6,057.55 is: 8,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.18 : 8,538.12 = 6,057.55 : x
  2. Step 2: Convert to fraction form
    6,205.18/8,538.12 = 6,057.55/x
  3. Step 3: Cross multiply
    6,205.18x = 8,538.12 × 6,057.55
  4. Step 4: Simplify right side
    6,205.18x = 51,720,088.81
  5. Step 5: Solve for x
    x = 51,720,088.81/6,205.18
  6. Step 6: Final answer
    x = 8,334.99

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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.