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Finding the Fourth Proportional to 10,622.22, 14,651.73 and 7,085.22

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Solution

The fourth proportional to 10,622.22, 14,651.73 and 7,085.22 is: 9,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.22 : 14,651.73 = 7,085.22 : x
  2. Step 2: Convert to fraction form
    10,622.22/14,651.73 = 7,085.22/x
  3. Step 3: Cross multiply
    10,622.22x = 14,651.73 × 7,085.22
  4. Step 4: Simplify right side
    10,622.22x = 103,810,730.43
  5. Step 5: Solve for x
    x = 103,810,730.43/10,622.22
  6. Step 6: Final answer
    x = 9,772.98

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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.