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Finding the Fourth Proportional to 11,540.71, 17,308.58 and 3,643.84

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Solution

The fourth proportional to 11,540.71, 17,308.58 and 3,643.84 is: 5,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.71 : 17,308.58 = 3,643.84 : x
  2. Step 2: Convert to fraction form
    11,540.71/17,308.58 = 3,643.84/x
  3. Step 3: Cross multiply
    11,540.71x = 17,308.58 × 3,643.84
  4. Step 4: Simplify right side
    11,540.71x = 63,069,696.15
  5. Step 5: Solve for x
    x = 63,069,696.15/11,540.71
  6. Step 6: Final answer
    x = 5,464.98

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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.