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Finding the Fourth Proportional to 10,813.28, 16,219.71 and 6,597.77

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Solution

The fourth proportional to 10,813.28, 16,219.71 and 6,597.77 is: 9,896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.28 : 16,219.71 = 6,597.77 : x
  2. Step 2: Convert to fraction form
    10,813.28/16,219.71 = 6,597.77/x
  3. Step 3: Cross multiply
    10,813.28x = 16,219.71 × 6,597.77
  4. Step 4: Simplify right side
    10,813.28x = 107,013,834.95
  5. Step 5: Solve for x
    x = 107,013,834.95/10,813.28
  6. Step 6: Final answer
    x = 9,896.52

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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.