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Finding the Fourth Proportional to 8,530.66, 11,771.40 and 6,293.74

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Solution

The fourth proportional to 8,530.66, 11,771.40 and 6,293.74 is: 8,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.66 : 11,771.40 = 6,293.74 : x
  2. Step 2: Convert to fraction form
    8,530.66/11,771.40 = 6,293.74/x
  3. Step 3: Cross multiply
    8,530.66x = 11,771.40 × 6,293.74
  4. Step 4: Simplify right side
    8,530.66x = 74,086,131.04
  5. Step 5: Solve for x
    x = 74,086,131.04/8,530.66
  6. Step 6: Final answer
    x = 8,684.69

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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.