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Finding the Fourth Proportional to 7,422.54, 10,238.56 and 5,826.79

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Solution

The fourth proportional to 7,422.54, 10,238.56 and 5,826.79 is: 8,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.54 : 10,238.56 = 5,826.79 : x
  2. Step 2: Convert to fraction form
    7,422.54/10,238.56 = 5,826.79/x
  3. Step 3: Cross multiply
    7,422.54x = 10,238.56 × 5,826.79
  4. Step 4: Simplify right side
    7,422.54x = 59,657,939.02
  5. Step 5: Solve for x
    x = 59,657,939.02/7,422.54
  6. Step 6: Final answer
    x = 8,037.40

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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.