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Finding the Fourth Proportional to 7,685.01, 11,530.71 and 3,243.78

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Solution

The fourth proportional to 7,685.01, 11,530.71 and 3,243.78 is: 4,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.01 : 11,530.71 = 3,243.78 : x
  2. Step 2: Convert to fraction form
    7,685.01/11,530.71 = 3,243.78/x
  3. Step 3: Cross multiply
    7,685.01x = 11,530.71 × 3,243.78
  4. Step 4: Simplify right side
    7,685.01x = 37,403,086.48
  5. Step 5: Solve for x
    x = 37,403,086.48/7,685.01
  6. Step 6: Final answer
    x = 4,867.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.