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Finding the Fourth Proportional to 7,464.63, 10,300.93 and 4,107.41

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Solution

The fourth proportional to 7,464.63, 10,300.93 and 4,107.41 is: 5,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.63 : 10,300.93 = 4,107.41 : x
  2. Step 2: Convert to fraction form
    7,464.63/10,300.93 = 4,107.41/x
  3. Step 3: Cross multiply
    7,464.63x = 10,300.93 × 4,107.41
  4. Step 4: Simplify right side
    7,464.63x = 42,310,142.89
  5. Step 5: Solve for x
    x = 42,310,142.89/7,464.63
  6. Step 6: Final answer
    x = 5,668.08

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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.