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Finding the Fourth Proportional to 11,580.40, 17,342.64 and 6,635.02

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Solution

The fourth proportional to 11,580.40, 17,342.64 and 6,635.02 is: 9,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.40 : 17,342.64 = 6,635.02 : x
  2. Step 2: Convert to fraction form
    11,580.40/17,342.64 = 6,635.02/x
  3. Step 3: Cross multiply
    11,580.40x = 17,342.64 × 6,635.02
  4. Step 4: Simplify right side
    11,580.40x = 115,068,763.25
  5. Step 5: Solve for x
    x = 115,068,763.25/11,580.40
  6. Step 6: Final answer
    x = 9,936.51

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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.