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Finding the Fourth Proportional to 10,849.56, 16,274.22 and 2,641.56

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Solution

The fourth proportional to 10,849.56, 16,274.22 and 2,641.56 is: 3,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.56 : 16,274.22 = 2,641.56 : x
  2. Step 2: Convert to fraction form
    10,849.56/16,274.22 = 2,641.56/x
  3. Step 3: Cross multiply
    10,849.56x = 16,274.22 × 2,641.56
  4. Step 4: Simplify right side
    10,849.56x = 42,989,328.58
  5. Step 5: Solve for x
    x = 42,989,328.58/10,849.56
  6. Step 6: Final answer
    x = 3,962.31

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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.