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Finding the Fourth Proportional to 7,111.30, 10,665.72 and 3,214.80

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Solution

The fourth proportional to 7,111.30, 10,665.72 and 3,214.80 is: 4,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.30 : 10,665.72 = 3,214.80 : x
  2. Step 2: Convert to fraction form
    7,111.30/10,665.72 = 3,214.80/x
  3. Step 3: Cross multiply
    7,111.30x = 10,665.72 × 3,214.80
  4. Step 4: Simplify right side
    7,111.30x = 34,288,156.66
  5. Step 5: Solve for x
    x = 34,288,156.66/7,111.30
  6. Step 6: Final answer
    x = 4,821.64

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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.