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Finding the Fourth Proportional to 7,265.36, 10,026.20 and 4,078.22

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Solution

The fourth proportional to 7,265.36, 10,026.20 and 4,078.22 is: 5,627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.36 : 10,026.20 = 4,078.22 : x
  2. Step 2: Convert to fraction form
    7,265.36/10,026.20 = 4,078.22/x
  3. Step 3: Cross multiply
    7,265.36x = 10,026.20 × 4,078.22
  4. Step 4: Simplify right side
    7,265.36x = 40,889,009.43
  5. Step 5: Solve for x
    x = 40,889,009.43/7,265.36
  6. Step 6: Final answer
    x = 5,627.94

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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.