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Finding the Fourth Proportional to 7,124.50, 10,688.82 and 2,963.74

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Solution

The fourth proportional to 7,124.50, 10,688.82 and 2,963.74 is: 4,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.50 : 10,688.82 = 2,963.74 : x
  2. Step 2: Convert to fraction form
    7,124.50/10,688.82 = 2,963.74/x
  3. Step 3: Cross multiply
    7,124.50x = 10,688.82 × 2,963.74
  4. Step 4: Simplify right side
    7,124.50x = 31,678,883.39
  5. Step 5: Solve for x
    x = 31,678,883.39/7,124.50
  6. Step 6: Final answer
    x = 4,446.47

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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.