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Finding the Fourth Proportional to 8,530.68, 11,771.53 and 6,293.80

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Solution

The fourth proportional to 8,530.68, 11,771.53 and 6,293.80 is: 8,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.68 : 11,771.53 = 6,293.80 : x
  2. Step 2: Convert to fraction form
    8,530.68/11,771.53 = 6,293.80/x
  3. Step 3: Cross multiply
    8,530.68x = 11,771.53 × 6,293.80
  4. Step 4: Simplify right side
    8,530.68x = 74,087,654.49
  5. Step 5: Solve for x
    x = 74,087,654.49/8,530.68
  6. Step 6: Final answer
    x = 8,684.84

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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.