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Finding the Fourth Proportional to 10,922.57, 16,384.92 and 4,347.22

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Solution

The fourth proportional to 10,922.57, 16,384.92 and 4,347.22 is: 6,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.57 : 16,384.92 = 4,347.22 : x
  2. Step 2: Convert to fraction form
    10,922.57/16,384.92 = 4,347.22/x
  3. Step 3: Cross multiply
    10,922.57x = 16,384.92 × 4,347.22
  4. Step 4: Simplify right side
    10,922.57x = 71,228,851.92
  5. Step 5: Solve for x
    x = 71,228,851.92/10,922.57
  6. Step 6: Final answer
    x = 6,521.25

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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.