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Finding the Fourth Proportional to 8,068.61, 11,104.34 and 6,826

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Solution

The fourth proportional to 8,068.61, 11,104.34 and 6,826 is: 9,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.61 : 11,104.34 = 6,826 : x
  2. Step 2: Convert to fraction form
    8,068.61/11,104.34 = 6,826/x
  3. Step 3: Cross multiply
    8,068.61x = 11,104.34 × 6,826
  4. Step 4: Simplify right side
    8,068.61x = 75,798,224.84
  5. Step 5: Solve for x
    x = 75,798,224.84/8,068.61
  6. Step 6: Final answer
    x = 9,394.21

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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.