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Finding the Fourth Proportional to 11,717.94, 17,564.40 and 5,470.68

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Solution

The fourth proportional to 11,717.94, 17,564.40 and 5,470.68 is: 8,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.94 : 17,564.40 = 5,470.68 : x
  2. Step 2: Convert to fraction form
    11,717.94/17,564.40 = 5,470.68/x
  3. Step 3: Cross multiply
    11,717.94x = 17,564.40 × 5,470.68
  4. Step 4: Simplify right side
    11,717.94x = 96,089,211.79
  5. Step 5: Solve for x
    x = 96,089,211.79/11,717.94
  6. Step 6: Final answer
    x = 8,200.18

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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.