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Finding the Fourth Proportional to 7,122.78, 9,826.65 and 4,138.07

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Solution

The fourth proportional to 7,122.78, 9,826.65 and 4,138.07 is: 5,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.78 : 9,826.65 = 4,138.07 : x
  2. Step 2: Convert to fraction form
    7,122.78/9,826.65 = 4,138.07/x
  3. Step 3: Cross multiply
    7,122.78x = 9,826.65 × 4,138.07
  4. Step 4: Simplify right side
    7,122.78x = 40,663,316.43
  5. Step 5: Solve for x
    x = 40,663,316.43/7,122.78
  6. Step 6: Final answer
    x = 5,708.91

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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.