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Finding the Fourth Proportional to 10,898.96, 16,347.22 and 3,107.57

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Solution

The fourth proportional to 10,898.96, 16,347.22 and 3,107.57 is: 4,661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.96 : 16,347.22 = 3,107.57 : x
  2. Step 2: Convert to fraction form
    10,898.96/16,347.22 = 3,107.57/x
  3. Step 3: Cross multiply
    10,898.96x = 16,347.22 × 3,107.57
  4. Step 4: Simplify right side
    10,898.96x = 50,800,040.95
  5. Step 5: Solve for x
    x = 50,800,040.95/10,898.96
  6. Step 6: Final answer
    x = 4,661.00

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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.