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Finding the Fourth Proportional to 7,113.13, 10,670.17 and 2,182.80

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Solution

The fourth proportional to 7,113.13, 10,670.17 and 2,182.80 is: 3,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.13 : 10,670.17 = 2,182.80 : x
  2. Step 2: Convert to fraction form
    7,113.13/10,670.17 = 2,182.80/x
  3. Step 3: Cross multiply
    7,113.13x = 10,670.17 × 2,182.80
  4. Step 4: Simplify right side
    7,113.13x = 23,290,788.27
  5. Step 5: Solve for x
    x = 23,290,788.27/7,113.13
  6. Step 6: Final answer
    x = 3,274.34

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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.