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Finding the Fourth Proportional to 11,460.29, 17,184.76 and 4,063.64

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Solution

The fourth proportional to 11,460.29, 17,184.76 and 4,063.64 is: 6,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.29 : 17,184.76 = 4,063.64 : x
  2. Step 2: Convert to fraction form
    11,460.29/17,184.76 = 4,063.64/x
  3. Step 3: Cross multiply
    11,460.29x = 17,184.76 × 4,063.64
  4. Step 4: Simplify right side
    11,460.29x = 69,832,582.04
  5. Step 5: Solve for x
    x = 69,832,582.04/11,460.29
  6. Step 6: Final answer
    x = 6,093.44

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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.