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Finding the Fourth Proportional to 10,387.59, 15,588.21 and 3,813.84

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Solution

The fourth proportional to 10,387.59, 15,588.21 and 3,813.84 is: 5,723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.59 : 15,588.21 = 3,813.84 : x
  2. Step 2: Convert to fraction form
    10,387.59/15,588.21 = 3,813.84/x
  3. Step 3: Cross multiply
    10,387.59x = 15,588.21 × 3,813.84
  4. Step 4: Simplify right side
    10,387.59x = 59,450,938.83
  5. Step 5: Solve for x
    x = 59,450,938.83/10,387.59
  6. Step 6: Final answer
    x = 5,723.27

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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.