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Finding the Fourth Proportional to 10,124.75, 15,196.85 and 4,934.27

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Solution

The fourth proportional to 10,124.75, 15,196.85 and 4,934.27 is: 7,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.75 : 15,196.85 = 4,934.27 : x
  2. Step 2: Convert to fraction form
    10,124.75/15,196.85 = 4,934.27/x
  3. Step 3: Cross multiply
    10,124.75x = 15,196.85 × 4,934.27
  4. Step 4: Simplify right side
    10,124.75x = 74,985,361.05
  5. Step 5: Solve for x
    x = 74,985,361.05/10,124.75
  6. Step 6: Final answer
    x = 7,406.14

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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.