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Finding the Fourth Proportional to 12,175.42, 16,802.13 and 6,798.37

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Solution

The fourth proportional to 12,175.42, 16,802.13 and 6,798.37 is: 9,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.42 : 16,802.13 = 6,798.37 : x
  2. Step 2: Convert to fraction form
    12,175.42/16,802.13 = 6,798.37/x
  3. Step 3: Cross multiply
    12,175.42x = 16,802.13 × 6,798.37
  4. Step 4: Simplify right side
    12,175.42x = 114,227,096.53
  5. Step 5: Solve for x
    x = 114,227,096.53/12,175.42
  6. Step 6: Final answer
    x = 9,381.78

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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.