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Finding the Fourth Proportional to 7,643.01, 11,464.47 and 3,689.66

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Solution

The fourth proportional to 7,643.01, 11,464.47 and 3,689.66 is: 5,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.01 : 11,464.47 = 3,689.66 : x
  2. Step 2: Convert to fraction form
    7,643.01/11,464.47 = 3,689.66/x
  3. Step 3: Cross multiply
    7,643.01x = 11,464.47 × 3,689.66
  4. Step 4: Simplify right side
    7,643.01x = 42,299,996.38
  5. Step 5: Solve for x
    x = 42,299,996.38/7,643.01
  6. Step 6: Final answer
    x = 5,534.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.