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Finding the Fourth Proportional to 10,387.53, 15,583.37 and 3,813.77

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Solution

The fourth proportional to 10,387.53, 15,583.37 and 3,813.77 is: 5,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.53 : 15,583.37 = 3,813.77 : x
  2. Step 2: Convert to fraction form
    10,387.53/15,583.37 = 3,813.77/x
  3. Step 3: Cross multiply
    10,387.53x = 15,583.37 × 3,813.77
  4. Step 4: Simplify right side
    10,387.53x = 59,431,408.89
  5. Step 5: Solve for x
    x = 59,431,408.89/10,387.53
  6. Step 6: Final answer
    x = 5,721.42

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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.