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Finding the Fourth Proportional to 6,885.99, 10,306.62 and 3,719.03

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Solution

The fourth proportional to 6,885.99, 10,306.62 and 3,719.03 is: 5,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.99 : 10,306.62 = 3,719.03 : x
  2. Step 2: Convert to fraction form
    6,885.99/10,306.62 = 3,719.03/x
  3. Step 3: Cross multiply
    6,885.99x = 10,306.62 × 3,719.03
  4. Step 4: Simplify right side
    6,885.99x = 38,330,577.45
  5. Step 5: Solve for x
    x = 38,330,577.45/6,885.99
  6. Step 6: Final answer
    x = 5,566.46

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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.