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Finding the Fourth Proportional to 10,738.56, 16,114.08 and 4,498.02

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Solution

The fourth proportional to 10,738.56, 16,114.08 and 4,498.02 is: 6,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.56 : 16,114.08 = 4,498.02 : x
  2. Step 2: Convert to fraction form
    10,738.56/16,114.08 = 4,498.02/x
  3. Step 3: Cross multiply
    10,738.56x = 16,114.08 × 4,498.02
  4. Step 4: Simplify right side
    10,738.56x = 72,481,454.12
  5. Step 5: Solve for x
    x = 72,481,454.12/10,738.56
  6. Step 6: Final answer
    x = 6,749.64

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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.