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Finding the Fourth Proportional to 11,470.47, 17,194.09 and 7,773.08

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Solution

The fourth proportional to 11,470.47, 17,194.09 and 7,773.08 is: 11,651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.47 : 17,194.09 = 7,773.08 : x
  2. Step 2: Convert to fraction form
    11,470.47/17,194.09 = 7,773.08/x
  3. Step 3: Cross multiply
    11,470.47x = 17,194.09 × 7,773.08
  4. Step 4: Simplify right side
    11,470.47x = 133,650,946.27
  5. Step 5: Solve for x
    x = 133,650,946.27/11,470.47
  6. Step 6: Final answer
    x = 11,651.74

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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.