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Finding the Fourth Proportional to 11,506.63, 17,263.08 and 4,111.84

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Solution

The fourth proportional to 11,506.63, 17,263.08 and 4,111.84 is: 6,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.63 : 17,263.08 = 4,111.84 : x
  2. Step 2: Convert to fraction form
    11,506.63/17,263.08 = 4,111.84/x
  3. Step 3: Cross multiply
    11,506.63x = 17,263.08 × 4,111.84
  4. Step 4: Simplify right side
    11,506.63x = 70,983,022.87
  5. Step 5: Solve for x
    x = 70,983,022.87/11,506.63
  6. Step 6: Final answer
    x = 6,168.88

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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.