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Finding the Fourth Proportional to 10,900.92, 16,356.80 and 4,326.96

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Solution

The fourth proportional to 10,900.92, 16,356.80 and 4,326.96 is: 6,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.92 : 16,356.80 = 4,326.96 : x
  2. Step 2: Convert to fraction form
    10,900.92/16,356.80 = 4,326.96/x
  3. Step 3: Cross multiply
    10,900.92x = 16,356.80 × 4,326.96
  4. Step 4: Simplify right side
    10,900.92x = 70,775,219.33
  5. Step 5: Solve for x
    x = 70,775,219.33/10,900.92
  6. Step 6: Final answer
    x = 6,492.59

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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.