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Finding the Fourth Proportional to 11,823.66, 16,312.06 and 6,786.06

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Solution

The fourth proportional to 11,823.66, 16,312.06 and 6,786.06 is: 9,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.66 : 16,312.06 = 6,786.06 : x
  2. Step 2: Convert to fraction form
    11,823.66/16,312.06 = 6,786.06/x
  3. Step 3: Cross multiply
    11,823.66x = 16,312.06 × 6,786.06
  4. Step 4: Simplify right side
    11,823.66x = 110,694,617.88
  5. Step 5: Solve for x
    x = 110,694,617.88/11,823.66
  6. Step 6: Final answer
    x = 9,362.13

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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.