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Finding the Fourth Proportional to 10,922.64, 16,385.01 and 4,347.37

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Solution

The fourth proportional to 10,922.64, 16,385.01 and 4,347.37 is: 6,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.64 : 16,385.01 = 4,347.37 : x
  2. Step 2: Convert to fraction form
    10,922.64/16,385.01 = 4,347.37/x
  3. Step 3: Cross multiply
    10,922.64x = 16,385.01 × 4,347.37
  4. Step 4: Simplify right side
    10,922.64x = 71,231,700.92
  5. Step 5: Solve for x
    x = 71,231,700.92/10,922.64
  6. Step 6: Final answer
    x = 6,521.47

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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.