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Finding the Fourth Proportional to 7,078.25, 10,615.71 and 2,914.13

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Solution

The fourth proportional to 7,078.25, 10,615.71 and 2,914.13 is: 4,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.25 : 10,615.71 = 2,914.13 : x
  2. Step 2: Convert to fraction form
    7,078.25/10,615.71 = 2,914.13/x
  3. Step 3: Cross multiply
    7,078.25x = 10,615.71 × 2,914.13
  4. Step 4: Simplify right side
    7,078.25x = 30,935,558.98
  5. Step 5: Solve for x
    x = 30,935,558.98/7,078.25
  6. Step 6: Final answer
    x = 4,370.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.