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Finding the Fourth Proportional to 10,013.84, 15,014.04 and 5,634.32

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Solution

The fourth proportional to 10,013.84, 15,014.04 and 5,634.32 is: 8,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.84 : 15,014.04 = 5,634.32 : x
  2. Step 2: Convert to fraction form
    10,013.84/15,014.04 = 5,634.32/x
  3. Step 3: Cross multiply
    10,013.84x = 15,014.04 × 5,634.32
  4. Step 4: Simplify right side
    10,013.84x = 84,593,905.85
  5. Step 5: Solve for x
    x = 84,593,905.85/10,013.84
  6. Step 6: Final answer
    x = 8,447.70

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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.