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Finding the Fourth Proportional to 11,638.71, 17,448.17 and 4,623.66

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Solution

The fourth proportional to 11,638.71, 17,448.17 and 4,623.66 is: 6,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.71 : 17,448.17 = 4,623.66 : x
  2. Step 2: Convert to fraction form
    11,638.71/17,448.17 = 4,623.66/x
  3. Step 3: Cross multiply
    11,638.71x = 17,448.17 × 4,623.66
  4. Step 4: Simplify right side
    11,638.71x = 80,674,382.58
  5. Step 5: Solve for x
    x = 80,674,382.58/11,638.71
  6. Step 6: Final answer
    x = 6,931.56

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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.