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Finding the Fourth Proportional to 7,123.49, 9,830.43 and 3,979.67

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Solution

The fourth proportional to 7,123.49, 9,830.43 and 3,979.67 is: 5,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.49 : 9,830.43 = 3,979.67 : x
  2. Step 2: Convert to fraction form
    7,123.49/9,830.43 = 3,979.67/x
  3. Step 3: Cross multiply
    7,123.49x = 9,830.43 × 3,979.67
  4. Step 4: Simplify right side
    7,123.49x = 39,121,867.36
  5. Step 5: Solve for x
    x = 39,121,867.36/7,123.49
  6. Step 6: Final answer
    x = 5,491.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.