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Finding the Fourth Proportional to 8,294.88, 11,457.84 and 6,195.36

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Solution

The fourth proportional to 8,294.88, 11,457.84 and 6,195.36 is: 8,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.88 : 11,457.84 = 6,195.36 : x
  2. Step 2: Convert to fraction form
    8,294.88/11,457.84 = 6,195.36/x
  3. Step 3: Cross multiply
    8,294.88x = 11,457.84 × 6,195.36
  4. Step 4: Simplify right side
    8,294.88x = 70,985,443.62
  5. Step 5: Solve for x
    x = 70,985,443.62/8,294.88
  6. Step 6: Final answer
    x = 8,557.74

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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.