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Finding the Fourth Proportional to 7,794.28, 10,756.20 and 4,257.72

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Solution

The fourth proportional to 7,794.28, 10,756.20 and 4,257.72 is: 5,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.28 : 10,756.20 = 4,257.72 : x
  2. Step 2: Convert to fraction form
    7,794.28/10,756.20 = 4,257.72/x
  3. Step 3: Cross multiply
    7,794.28x = 10,756.20 × 4,257.72
  4. Step 4: Simplify right side
    7,794.28x = 45,796,887.86
  5. Step 5: Solve for x
    x = 45,796,887.86/7,794.28
  6. Step 6: Final answer
    x = 5,875.70

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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.