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Finding the Fourth Proportional to 11,135.24, 16,706.06 and 5,283.80

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Solution

The fourth proportional to 11,135.24, 16,706.06 and 5,283.80 is: 7,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,135.24 : 16,706.06 = 5,283.80 : x
  2. Step 2: Convert to fraction form
    11,135.24/16,706.06 = 5,283.80/x
  3. Step 3: Cross multiply
    11,135.24x = 16,706.06 × 5,283.80
  4. Step 4: Simplify right side
    11,135.24x = 88,271,479.83
  5. Step 5: Solve for x
    x = 88,271,479.83/11,135.24
  6. Step 6: Final answer
    x = 7,927.22

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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.