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Finding the Fourth Proportional to 6,987.71, 10,479.34 and 2,306.84

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Solution

The fourth proportional to 6,987.71, 10,479.34 and 2,306.84 is: 3,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.71 : 10,479.34 = 2,306.84 : x
  2. Step 2: Convert to fraction form
    6,987.71/10,479.34 = 2,306.84/x
  3. Step 3: Cross multiply
    6,987.71x = 10,479.34 × 2,306.84
  4. Step 4: Simplify right side
    6,987.71x = 24,174,157.14
  5. Step 5: Solve for x
    x = 24,174,157.14/6,987.71
  6. Step 6: Final answer
    x = 3,459.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.