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Finding the Fourth Proportional to 12,105.84, 16,709.22 and 6,802.36

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Solution

The fourth proportional to 12,105.84, 16,709.22 and 6,802.36 is: 9,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.84 : 16,709.22 = 6,802.36 : x
  2. Step 2: Convert to fraction form
    12,105.84/16,709.22 = 6,802.36/x
  3. Step 3: Cross multiply
    12,105.84x = 16,709.22 × 6,802.36
  4. Step 4: Simplify right side
    12,105.84x = 113,662,129.76
  5. Step 5: Solve for x
    x = 113,662,129.76/12,105.84
  6. Step 6: Final answer
    x = 9,389.03

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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.