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Finding the Fourth Proportional to 7,078.57, 10,617.88 and 2,148.25

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Solution

The fourth proportional to 7,078.57, 10,617.88 and 2,148.25 is: 3,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.57 : 10,617.88 = 2,148.25 : x
  2. Step 2: Convert to fraction form
    7,078.57/10,617.88 = 2,148.25/x
  3. Step 3: Cross multiply
    7,078.57x = 10,617.88 × 2,148.25
  4. Step 4: Simplify right side
    7,078.57x = 22,809,860.71
  5. Step 5: Solve for x
    x = 22,809,860.71/7,078.57
  6. Step 6: Final answer
    x = 3,222.38

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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.