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Finding the Fourth Proportional to 7,101.73, 10,653.95 and 3,206.13

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Solution

The fourth proportional to 7,101.73, 10,653.95 and 3,206.13 is: 4,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.73 : 10,653.95 = 3,206.13 : x
  2. Step 2: Convert to fraction form
    7,101.73/10,653.95 = 3,206.13/x
  3. Step 3: Cross multiply
    7,101.73x = 10,653.95 × 3,206.13
  4. Step 4: Simplify right side
    7,101.73x = 34,157,948.71
  5. Step 5: Solve for x
    x = 34,157,948.71/7,101.73
  6. Step 6: Final answer
    x = 4,809.81

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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.