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Finding the Fourth Proportional to 10,706.22, 14,775.39 and 5,990.40

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Solution

The fourth proportional to 10,706.22, 14,775.39 and 5,990.40 is: 8,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.22 : 14,775.39 = 5,990.40 : x
  2. Step 2: Convert to fraction form
    10,706.22/14,775.39 = 5,990.40/x
  3. Step 3: Cross multiply
    10,706.22x = 14,775.39 × 5,990.40
  4. Step 4: Simplify right side
    10,706.22x = 88,510,496.26
  5. Step 5: Solve for x
    x = 88,510,496.26/10,706.22
  6. Step 6: Final answer
    x = 8,267.20

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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.