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Finding the Fourth Proportional to 7,775.26, 10,727.94 and 4,749.60

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Solution

The fourth proportional to 7,775.26, 10,727.94 and 4,749.60 is: 6,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.26 : 10,727.94 = 4,749.60 : x
  2. Step 2: Convert to fraction form
    7,775.26/10,727.94 = 4,749.60/x
  3. Step 3: Cross multiply
    7,775.26x = 10,727.94 × 4,749.60
  4. Step 4: Simplify right side
    7,775.26x = 50,953,423.82
  5. Step 5: Solve for x
    x = 50,953,423.82/7,775.26
  6. Step 6: Final answer
    x = 6,553.28

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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.