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Finding the Fourth Proportional to 7,464.44, 10,300.97 and 4,107.15

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Solution

The fourth proportional to 7,464.44, 10,300.97 and 4,107.15 is: 5,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.44 : 10,300.97 = 4,107.15 : x
  2. Step 2: Convert to fraction form
    7,464.44/10,300.97 = 4,107.15/x
  3. Step 3: Cross multiply
    7,464.44x = 10,300.97 × 4,107.15
  4. Step 4: Simplify right side
    7,464.44x = 42,307,608.40
  5. Step 5: Solve for x
    x = 42,307,608.40/7,464.44
  6. Step 6: Final answer
    x = 5,667.89

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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.