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Finding the Fourth Proportional to 7,166.22, 10,752.50 and 2,784

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Solution

The fourth proportional to 7,166.22, 10,752.50 and 2,784 is: 4,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.22 : 10,752.50 = 2,784 : x
  2. Step 2: Convert to fraction form
    7,166.22/10,752.50 = 2,784/x
  3. Step 3: Cross multiply
    7,166.22x = 10,752.50 × 2,784
  4. Step 4: Simplify right side
    7,166.22x = 29,934,960
  5. Step 5: Solve for x
    x = 29,934,960/7,166.22
  6. Step 6: Final answer
    x = 4,177.23

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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.