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Finding the Fourth Proportional to 7,464.77, 10,301.68 and 4,107.84

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Solution

The fourth proportional to 7,464.77, 10,301.68 and 4,107.84 is: 5,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.77 : 10,301.68 = 4,107.84 : x
  2. Step 2: Convert to fraction form
    7,464.77/10,301.68 = 4,107.84/x
  3. Step 3: Cross multiply
    7,464.77x = 10,301.68 × 4,107.84
  4. Step 4: Simplify right side
    7,464.77x = 42,317,648.65
  5. Step 5: Solve for x
    x = 42,317,648.65/7,464.77
  6. Step 6: Final answer
    x = 5,668.98

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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.