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Finding the Fourth Proportional to 7,184.53, 10,776.80 and 2,254.55

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Solution

The fourth proportional to 7,184.53, 10,776.80 and 2,254.55 is: 3,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.53 : 10,776.80 = 2,254.55 : x
  2. Step 2: Convert to fraction form
    7,184.53/10,776.80 = 2,254.55/x
  3. Step 3: Cross multiply
    7,184.53x = 10,776.80 × 2,254.55
  4. Step 4: Simplify right side
    7,184.53x = 24,296,786.19
  5. Step 5: Solve for x
    x = 24,296,786.19/7,184.53
  6. Step 6: Final answer
    x = 3,381.82

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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.