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Finding the Fourth Proportional to 8,266.98, 11,407.89 and 4,909.62

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Solution

The fourth proportional to 8,266.98, 11,407.89 and 4,909.62 is: 6,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.98 : 11,407.89 = 4,909.62 : x
  2. Step 2: Convert to fraction form
    8,266.98/11,407.89 = 4,909.62/x
  3. Step 3: Cross multiply
    8,266.98x = 11,407.89 × 4,909.62
  4. Step 4: Simplify right side
    8,266.98x = 56,008,404.90
  5. Step 5: Solve for x
    x = 56,008,404.90/8,266.98
  6. Step 6: Final answer
    x = 6,774.95

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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.