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Finding the Fourth Proportional to 8,266.83, 11,407.63 and 4,680.75

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Solution

The fourth proportional to 8,266.83, 11,407.63 and 4,680.75 is: 6,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.83 : 11,407.63 = 4,680.75 : x
  2. Step 2: Convert to fraction form
    8,266.83/11,407.63 = 4,680.75/x
  3. Step 3: Cross multiply
    8,266.83x = 11,407.63 × 4,680.75
  4. Step 4: Simplify right side
    8,266.83x = 53,396,240.72
  5. Step 5: Solve for x
    x = 53,396,240.72/8,266.83
  6. Step 6: Final answer
    x = 6,459.10

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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.