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Finding the Fourth Proportional to 7,280.63, 10,922.76 and 2,086.50

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Solution

The fourth proportional to 7,280.63, 10,922.76 and 2,086.50 is: 3,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.63 : 10,922.76 = 2,086.50 : x
  2. Step 2: Convert to fraction form
    7,280.63/10,922.76 = 2,086.50/x
  3. Step 3: Cross multiply
    7,280.63x = 10,922.76 × 2,086.50
  4. Step 4: Simplify right side
    7,280.63x = 22,790,338.74
  5. Step 5: Solve for x
    x = 22,790,338.74/7,280.63
  6. Step 6: Final answer
    x = 3,130.27

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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.