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Finding the Fourth Proportional to 10,388.64, 15,573.68 and 3,813.30

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Solution

The fourth proportional to 10,388.64, 15,573.68 and 3,813.30 is: 5,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.64 : 15,573.68 = 3,813.30 : x
  2. Step 2: Convert to fraction form
    10,388.64/15,573.68 = 3,813.30/x
  3. Step 3: Cross multiply
    10,388.64x = 15,573.68 × 3,813.30
  4. Step 4: Simplify right side
    10,388.64x = 59,387,113.94
  5. Step 5: Solve for x
    x = 59,387,113.94/10,388.64
  6. Step 6: Final answer
    x = 5,716.54

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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.