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Finding the Fourth Proportional to 7,265.80, 10,026 and 4,078.69

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Solution

The fourth proportional to 7,265.80, 10,026 and 4,078.69 is: 5,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.80 : 10,026 = 4,078.69 : x
  2. Step 2: Convert to fraction form
    7,265.80/10,026 = 4,078.69/x
  3. Step 3: Cross multiply
    7,265.80x = 10,026 × 4,078.69
  4. Step 4: Simplify right side
    7,265.80x = 40,892,945.94
  5. Step 5: Solve for x
    x = 40,892,945.94/7,265.80
  6. Step 6: Final answer
    x = 5,628.14

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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.