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Finding the Fourth Proportional to 7,784.92, 10,736.56 and 5,266.36

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Solution

The fourth proportional to 7,784.92, 10,736.56 and 5,266.36 is: 7,263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.92 : 10,736.56 = 5,266.36 : x
  2. Step 2: Convert to fraction form
    7,784.92/10,736.56 = 5,266.36/x
  3. Step 3: Cross multiply
    7,784.92x = 10,736.56 × 5,266.36
  4. Step 4: Simplify right side
    7,784.92x = 56,542,590.12
  5. Step 5: Solve for x
    x = 56,542,590.12/7,784.92
  6. Step 6: Final answer
    x = 7,263.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.