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Finding the Fourth Proportional to 8,266.77, 11,407.86 and 4,489.80

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Solution

The fourth proportional to 8,266.77, 11,407.86 and 4,489.80 is: 6,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.77 : 11,407.86 = 4,489.80 : x
  2. Step 2: Convert to fraction form
    8,266.77/11,407.86 = 4,489.80/x
  3. Step 3: Cross multiply
    8,266.77x = 11,407.86 × 4,489.80
  4. Step 4: Simplify right side
    8,266.77x = 51,219,009.83
  5. Step 5: Solve for x
    x = 51,219,009.83/8,266.77
  6. Step 6: Final answer
    x = 6,195.77

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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.