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Finding the Fourth Proportional to 8,521.74, 11,763.63 and 5,728.86

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Solution

The fourth proportional to 8,521.74, 11,763.63 and 5,728.86 is: 7,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.74 : 11,763.63 = 5,728.86 : x
  2. Step 2: Convert to fraction form
    8,521.74/11,763.63 = 5,728.86/x
  3. Step 3: Cross multiply
    8,521.74x = 11,763.63 × 5,728.86
  4. Step 4: Simplify right side
    8,521.74x = 67,392,189.36
  5. Step 5: Solve for x
    x = 67,392,189.36/8,521.74
  6. Step 6: Final answer
    x = 7,908.27

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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.