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Finding the Fourth Proportional to 11,688.53, 17,519.54 and 4,188.62

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Solution

The fourth proportional to 11,688.53, 17,519.54 and 4,188.62 is: 6,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.53 : 17,519.54 = 4,188.62 : x
  2. Step 2: Convert to fraction form
    11,688.53/17,519.54 = 4,188.62/x
  3. Step 3: Cross multiply
    11,688.53x = 17,519.54 × 4,188.62
  4. Step 4: Simplify right side
    11,688.53x = 73,382,718.49
  5. Step 5: Solve for x
    x = 73,382,718.49/11,688.53
  6. Step 6: Final answer
    x = 6,278.18

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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.