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Finding the Fourth Proportional to 10,156.40, 15,229.74 and 5,940.84

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Solution

The fourth proportional to 10,156.40, 15,229.74 and 5,940.84 is: 8,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.40 : 15,229.74 = 5,940.84 : x
  2. Step 2: Convert to fraction form
    10,156.40/15,229.74 = 5,940.84/x
  3. Step 3: Cross multiply
    10,156.40x = 15,229.74 × 5,940.84
  4. Step 4: Simplify right side
    10,156.40x = 90,477,448.58
  5. Step 5: Solve for x
    x = 90,477,448.58/10,156.40
  6. Step 6: Final answer
    x = 8,908.42

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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.