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Finding the Fourth Proportional to 6,972.30, 10,458.45 and 6,850.80

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Solution

The fourth proportional to 6,972.30, 10,458.45 and 6,850.80 is: 10,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.30 : 10,458.45 = 6,850.80 : x
  2. Step 2: Convert to fraction form
    6,972.30/10,458.45 = 6,850.80/x
  3. Step 3: Cross multiply
    6,972.30x = 10,458.45 × 6,850.80
  4. Step 4: Simplify right side
    6,972.30x = 71,648,749.26
  5. Step 5: Solve for x
    x = 71,648,749.26/6,972.30
  6. Step 6: Final answer
    x = 10,276.20

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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.