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Finding the Fourth Proportional to 10,937.28, 16,403.52 and 3,144

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Solution

The fourth proportional to 10,937.28, 16,403.52 and 3,144 is: 4,715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.28 : 16,403.52 = 3,144 : x
  2. Step 2: Convert to fraction form
    10,937.28/16,403.52 = 3,144/x
  3. Step 3: Cross multiply
    10,937.28x = 16,403.52 × 3,144
  4. Step 4: Simplify right side
    10,937.28x = 51,572,666.88
  5. Step 5: Solve for x
    x = 51,572,666.88/10,937.28
  6. Step 6: Final answer
    x = 4,715.31

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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.