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Finding the Fourth Proportional to 7,766.63, 10,718.08 and 4,229.84

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Solution

The fourth proportional to 7,766.63, 10,718.08 and 4,229.84 is: 5,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.63 : 10,718.08 = 4,229.84 : x
  2. Step 2: Convert to fraction form
    7,766.63/10,718.08 = 4,229.84/x
  3. Step 3: Cross multiply
    7,766.63x = 10,718.08 × 4,229.84
  4. Step 4: Simplify right side
    7,766.63x = 45,335,779.73
  5. Step 5: Solve for x
    x = 45,335,779.73/7,766.63
  6. Step 6: Final answer
    x = 5,837.25

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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.