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Finding the Fourth Proportional to 10,813.75, 16,113.12 and 9,634.69

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Solution

The fourth proportional to 10,813.75, 16,113.12 and 9,634.69 is: 14,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.75 : 16,113.12 = 9,634.69 : x
  2. Step 2: Convert to fraction form
    10,813.75/16,113.12 = 9,634.69/x
  3. Step 3: Cross multiply
    10,813.75x = 16,113.12 × 9,634.69
  4. Step 4: Simplify right side
    10,813.75x = 155,244,875.85
  5. Step 5: Solve for x
    x = 155,244,875.85/10,813.75
  6. Step 6: Final answer
    x = 14,356.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.