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Finding the Fourth Proportional to 8,179.70, 12,274.93 and 4,484.53

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Solution

The fourth proportional to 8,179.70, 12,274.93 and 4,484.53 is: 6,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.70 : 12,274.93 = 4,484.53 : x
  2. Step 2: Convert to fraction form
    8,179.70/12,274.93 = 4,484.53/x
  3. Step 3: Cross multiply
    8,179.70x = 12,274.93 × 4,484.53
  4. Step 4: Simplify right side
    8,179.70x = 55,047,230.46
  5. Step 5: Solve for x
    x = 55,047,230.46/8,179.70
  6. Step 6: Final answer
    x = 6,729.74

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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.