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Finding the Fourth Proportional to 7,808.97, 10,776.38 and 4,451.79

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Solution

The fourth proportional to 7,808.97, 10,776.38 and 4,451.79 is: 6,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.97 : 10,776.38 = 4,451.79 : x
  2. Step 2: Convert to fraction form
    7,808.97/10,776.38 = 4,451.79/x
  3. Step 3: Cross multiply
    7,808.97x = 10,776.38 × 4,451.79
  4. Step 4: Simplify right side
    7,808.97x = 47,974,158.46
  5. Step 5: Solve for x
    x = 47,974,158.46/7,808.97
  6. Step 6: Final answer
    x = 6,143.47

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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.