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Finding the Fourth Proportional to 11,862.54, 17,782.20 and 6,664.50

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Solution

The fourth proportional to 11,862.54, 17,782.20 and 6,664.50 is: 9,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.54 : 17,782.20 = 6,664.50 : x
  2. Step 2: Convert to fraction form
    11,862.54/17,782.20 = 6,664.50/x
  3. Step 3: Cross multiply
    11,862.54x = 17,782.20 × 6,664.50
  4. Step 4: Simplify right side
    11,862.54x = 118,509,471.90
  5. Step 5: Solve for x
    x = 118,509,471.90/11,862.54
  6. Step 6: Final answer
    x = 9,990.23

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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.