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Finding the Fourth Proportional to 7,800.72, 10,764.80 and 4,264

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Solution

The fourth proportional to 7,800.72, 10,764.80 and 4,264 is: 5,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.72 : 10,764.80 = 4,264 : x
  2. Step 2: Convert to fraction form
    7,800.72/10,764.80 = 4,264/x
  3. Step 3: Cross multiply
    7,800.72x = 10,764.80 × 4,264
  4. Step 4: Simplify right side
    7,800.72x = 45,901,107.20
  5. Step 5: Solve for x
    x = 45,901,107.20/7,800.72
  6. Step 6: Final answer
    x = 5,884.21

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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.