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Finding the Fourth Proportional to 7,800.78, 10,765.04 and 4,264.02

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Solution

The fourth proportional to 7,800.78, 10,765.04 and 4,264.02 is: 5,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.78 : 10,765.04 = 4,264.02 : x
  2. Step 2: Convert to fraction form
    7,800.78/10,765.04 = 4,264.02/x
  3. Step 3: Cross multiply
    7,800.78x = 10,765.04 × 4,264.02
  4. Step 4: Simplify right side
    7,800.78x = 45,902,324.54
  5. Step 5: Solve for x
    x = 45,902,324.54/7,800.78
  6. Step 6: Final answer
    x = 5,884.32

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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.