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Finding the Fourth Proportional to 7,795.28, 10,756 and 4,651.76

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Solution

The fourth proportional to 7,795.28, 10,756 and 4,651.76 is: 6,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.28 : 10,756 = 4,651.76 : x
  2. Step 2: Convert to fraction form
    7,795.28/10,756 = 4,651.76/x
  3. Step 3: Cross multiply
    7,795.28x = 10,756 × 4,651.76
  4. Step 4: Simplify right side
    7,795.28x = 50,034,330.56
  5. Step 5: Solve for x
    x = 50,034,330.56/7,795.28
  6. Step 6: Final answer
    x = 6,418.54

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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.