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Finding the Fourth Proportional to 7,728.66, 11,594.67 and 2,534.34

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Solution

The fourth proportional to 7,728.66, 11,594.67 and 2,534.34 is: 3,802.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.66 : 11,594.67 = 2,534.34 : x
  2. Step 2: Convert to fraction form
    7,728.66/11,594.67 = 2,534.34/x
  3. Step 3: Cross multiply
    7,728.66x = 11,594.67 × 2,534.34
  4. Step 4: Simplify right side
    7,728.66x = 29,384,835.97
  5. Step 5: Solve for x
    x = 29,384,835.97/7,728.66
  6. Step 6: Final answer
    x = 3,802.06

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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.