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Finding the Fourth Proportional to 7,464.88, 10,301.78 and 4,107.94

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Solution

The fourth proportional to 7,464.88, 10,301.78 and 4,107.94 is: 5,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.88 : 10,301.78 = 4,107.94 : x
  2. Step 2: Convert to fraction form
    7,464.88/10,301.78 = 4,107.94/x
  3. Step 3: Cross multiply
    7,464.88x = 10,301.78 × 4,107.94
  4. Step 4: Simplify right side
    7,464.88x = 42,319,094.13
  5. Step 5: Solve for x
    x = 42,319,094.13/7,464.88
  6. Step 6: Final answer
    x = 5,669.09

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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.