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Finding the Fourth Proportional to 8,266.23, 11,407.43 and 4,909.19

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Solution

The fourth proportional to 8,266.23, 11,407.43 and 4,909.19 is: 6,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.23 : 11,407.43 = 4,909.19 : x
  2. Step 2: Convert to fraction form
    8,266.23/11,407.43 = 4,909.19/x
  3. Step 3: Cross multiply
    8,266.23x = 11,407.43 × 4,909.19
  4. Step 4: Simplify right side
    8,266.23x = 56,001,159.70
  5. Step 5: Solve for x
    x = 56,001,159.70/8,266.23
  6. Step 6: Final answer
    x = 6,774.69

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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.