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Finding the Fourth Proportional to 7,166.34, 10,752.68 and 2,784.13

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Solution

The fourth proportional to 7,166.34, 10,752.68 and 2,784.13 is: 4,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.34 : 10,752.68 = 2,784.13 : x
  2. Step 2: Convert to fraction form
    7,166.34/10,752.68 = 2,784.13/x
  3. Step 3: Cross multiply
    7,166.34x = 10,752.68 × 2,784.13
  4. Step 4: Simplify right side
    7,166.34x = 29,936,839.05
  5. Step 5: Solve for x
    x = 29,936,839.05/7,166.34
  6. Step 6: Final answer
    x = 4,177.42

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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.