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Finding the Fourth Proportional to 10,809.84, 16,193.79 and 7,100.82

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Solution

The fourth proportional to 10,809.84, 16,193.79 and 7,100.82 is: 10,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.84 : 16,193.79 = 7,100.82 : x
  2. Step 2: Convert to fraction form
    10,809.84/16,193.79 = 7,100.82/x
  3. Step 3: Cross multiply
    10,809.84x = 16,193.79 × 7,100.82
  4. Step 4: Simplify right side
    10,809.84x = 114,989,187.91
  5. Step 5: Solve for x
    x = 114,989,187.91/10,809.84
  6. Step 6: Final answer
    x = 10,637.46

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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.