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Finding the Fourth Proportional to 7,184.71, 10,777.47 and 2,254.24

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Solution

The fourth proportional to 7,184.71, 10,777.47 and 2,254.24 is: 3,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.71 : 10,777.47 = 2,254.24 : x
  2. Step 2: Convert to fraction form
    7,184.71/10,777.47 = 2,254.24/x
  3. Step 3: Cross multiply
    7,184.71x = 10,777.47 × 2,254.24
  4. Step 4: Simplify right side
    7,184.71x = 24,295,003.97
  5. Step 5: Solve for x
    x = 24,295,003.97/7,184.71
  6. Step 6: Final answer
    x = 3,381.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.