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Finding the Fourth Proportional to 10,387.94, 15,584.03 and 3,814.17

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Solution

The fourth proportional to 10,387.94, 15,584.03 and 3,814.17 is: 5,722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.94 : 15,584.03 = 3,814.17 : x
  2. Step 2: Convert to fraction form
    10,387.94/15,584.03 = 3,814.17/x
  3. Step 3: Cross multiply
    10,387.94x = 15,584.03 × 3,814.17
  4. Step 4: Simplify right side
    10,387.94x = 59,440,120.63
  5. Step 5: Solve for x
    x = 59,440,120.63/10,387.94
  6. Step 6: Final answer
    x = 5,722.03

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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.