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Finding the Fourth Proportional to 11,886.19, 17,824.50 and 4,486.63

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Solution

The fourth proportional to 11,886.19, 17,824.50 and 4,486.63 is: 6,728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.19 : 17,824.50 = 4,486.63 : x
  2. Step 2: Convert to fraction form
    11,886.19/17,824.50 = 4,486.63/x
  3. Step 3: Cross multiply
    11,886.19x = 17,824.50 × 4,486.63
  4. Step 4: Simplify right side
    11,886.19x = 79,971,936.44
  5. Step 5: Solve for x
    x = 79,971,936.44/11,886.19
  6. Step 6: Final answer
    x = 6,728.14

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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.