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Finding the Fourth Proportional to 7,078.98, 9,759.81 and 4,556.58

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Solution

The fourth proportional to 7,078.98, 9,759.81 and 4,556.58 is: 6,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.98 : 9,759.81 = 4,556.58 : x
  2. Step 2: Convert to fraction form
    7,078.98/9,759.81 = 4,556.58/x
  3. Step 3: Cross multiply
    7,078.98x = 9,759.81 × 4,556.58
  4. Step 4: Simplify right side
    7,078.98x = 44,471,355.05
  5. Step 5: Solve for x
    x = 44,471,355.05/7,078.98
  6. Step 6: Final answer
    x = 6,282.17

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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.