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Finding the Fourth Proportional to 11,434.72, 17,151.90 and 3,643.48

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Solution

The fourth proportional to 11,434.72, 17,151.90 and 3,643.48 is: 5,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.72 : 17,151.90 = 3,643.48 : x
  2. Step 2: Convert to fraction form
    11,434.72/17,151.90 = 3,643.48/x
  3. Step 3: Cross multiply
    11,434.72x = 17,151.90 × 3,643.48
  4. Step 4: Simplify right side
    11,434.72x = 62,492,604.61
  5. Step 5: Solve for x
    x = 62,492,604.61/11,434.72
  6. Step 6: Final answer
    x = 5,465.16

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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.