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Finding the Fourth Proportional to 10,005.37, 13,802.25 and 8,119.09

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Solution

The fourth proportional to 10,005.37, 13,802.25 and 8,119.09 is: 11,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.37 : 13,802.25 = 8,119.09 : x
  2. Step 2: Convert to fraction form
    10,005.37/13,802.25 = 8,119.09/x
  3. Step 3: Cross multiply
    10,005.37x = 13,802.25 × 8,119.09
  4. Step 4: Simplify right side
    10,005.37x = 112,061,634.34
  5. Step 5: Solve for x
    x = 112,061,634.34/10,005.37
  6. Step 6: Final answer
    x = 11,200.15

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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.