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Finding the Fourth Proportional to 11,762.82, 16,233.03 and 6,657.93

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Solution

The fourth proportional to 11,762.82, 16,233.03 and 6,657.93 is: 9,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.82 : 16,233.03 = 6,657.93 : x
  2. Step 2: Convert to fraction form
    11,762.82/16,233.03 = 6,657.93/x
  3. Step 3: Cross multiply
    11,762.82x = 16,233.03 × 6,657.93
  4. Step 4: Simplify right side
    11,762.82x = 108,078,377.43
  5. Step 5: Solve for x
    x = 108,078,377.43/11,762.82
  6. Step 6: Final answer
    x = 9,188.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.