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Finding the Fourth Proportional to 7,464.88, 10,300.83 and 4,107.64

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Solution

The fourth proportional to 7,464.88, 10,300.83 and 4,107.64 is: 5,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.88 : 10,300.83 = 4,107.64 : x
  2. Step 2: Convert to fraction form
    7,464.88/10,300.83 = 4,107.64/x
  3. Step 3: Cross multiply
    7,464.88x = 10,300.83 × 4,107.64
  4. Step 4: Simplify right side
    7,464.88x = 42,312,101.34
  5. Step 5: Solve for x
    x = 42,312,101.34/7,464.88
  6. Step 6: Final answer
    x = 5,668.16

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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.