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Finding the Fourth Proportional to 7,464.69, 10,301.95 and 4,108.02

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Solution

The fourth proportional to 7,464.69, 10,301.95 and 4,108.02 is: 5,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.69 : 10,301.95 = 4,108.02 : x
  2. Step 2: Convert to fraction form
    7,464.69/10,301.95 = 4,108.02/x
  3. Step 3: Cross multiply
    7,464.69x = 10,301.95 × 4,108.02
  4. Step 4: Simplify right side
    7,464.69x = 42,320,583.14
  5. Step 5: Solve for x
    x = 42,320,583.14/7,464.69
  6. Step 6: Final answer
    x = 5,669.44

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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.