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Finding the Fourth Proportional to 6,827.94, 10,240.14 and 2,444.76

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Solution

The fourth proportional to 6,827.94, 10,240.14 and 2,444.76 is: 3,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.94 : 10,240.14 = 2,444.76 : x
  2. Step 2: Convert to fraction form
    6,827.94/10,240.14 = 2,444.76/x
  3. Step 3: Cross multiply
    6,827.94x = 10,240.14 × 2,444.76
  4. Step 4: Simplify right side
    6,827.94x = 25,034,684.67
  5. Step 5: Solve for x
    x = 25,034,684.67/6,827.94
  6. Step 6: Final answer
    x = 3,666.51

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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.