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Finding the Fourth Proportional to 6,679.40, 10,008.30 and 4,209.80

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Solution

The fourth proportional to 6,679.40, 10,008.30 and 4,209.80 is: 6,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.40 : 10,008.30 = 4,209.80 : x
  2. Step 2: Convert to fraction form
    6,679.40/10,008.30 = 4,209.80/x
  3. Step 3: Cross multiply
    6,679.40x = 10,008.30 × 4,209.80
  4. Step 4: Simplify right side
    6,679.40x = 42,132,941.34
  5. Step 5: Solve for x
    x = 42,132,941.34/6,679.40
  6. Step 6: Final answer
    x = 6,307.89

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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.