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Finding the Fourth Proportional to 11,653.41, 17,466.24 and 6,712.81

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Solution

The fourth proportional to 11,653.41, 17,466.24 and 6,712.81 is: 10,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.41 : 17,466.24 = 6,712.81 : x
  2. Step 2: Convert to fraction form
    11,653.41/17,466.24 = 6,712.81/x
  3. Step 3: Cross multiply
    11,653.41x = 17,466.24 × 6,712.81
  4. Step 4: Simplify right side
    11,653.41x = 117,247,550.53
  5. Step 5: Solve for x
    x = 117,247,550.53/11,653.41
  6. Step 6: Final answer
    x = 10,061.22

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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.