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Finding the Fourth Proportional to 6,849.76, 10,274.64 and 4,108

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Solution

The fourth proportional to 6,849.76, 10,274.64 and 4,108 is: 6,162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.76 : 10,274.64 = 4,108 : x
  2. Step 2: Convert to fraction form
    6,849.76/10,274.64 = 4,108/x
  3. Step 3: Cross multiply
    6,849.76x = 10,274.64 × 4,108
  4. Step 4: Simplify right side
    6,849.76x = 42,208,221.12
  5. Step 5: Solve for x
    x = 42,208,221.12/6,849.76
  6. Step 6: Final answer
    x = 6,162.00

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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.