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Finding the Fourth Proportional to 11,643.95, 17,468.49 and 3,323.78

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Solution

The fourth proportional to 11,643.95, 17,468.49 and 3,323.78 is: 4,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.95 : 17,468.49 = 3,323.78 : x
  2. Step 2: Convert to fraction form
    11,643.95/17,468.49 = 3,323.78/x
  3. Step 3: Cross multiply
    11,643.95x = 17,468.49 × 3,323.78
  4. Step 4: Simplify right side
    11,643.95x = 58,061,417.69
  5. Step 5: Solve for x
    x = 58,061,417.69/11,643.95
  6. Step 6: Final answer
    x = 4,986.40

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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.