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Finding the Fourth Proportional to 10,537.43, 15,813.93 and 4,990.77

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Solution

The fourth proportional to 10,537.43, 15,813.93 and 4,990.77 is: 7,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.43 : 15,813.93 = 4,990.77 : x
  2. Step 2: Convert to fraction form
    10,537.43/15,813.93 = 4,990.77/x
  3. Step 3: Cross multiply
    10,537.43x = 15,813.93 × 4,990.77
  4. Step 4: Simplify right side
    10,537.43x = 78,923,687.43
  5. Step 5: Solve for x
    x = 78,923,687.43/10,537.43
  6. Step 6: Final answer
    x = 7,489.84

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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.