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Finding the Fourth Proportional to 10,393.84, 14,343.44 and 5,678.09

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Solution

The fourth proportional to 10,393.84, 14,343.44 and 5,678.09 is: 7,835.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.84 : 14,343.44 = 5,678.09 : x
  2. Step 2: Convert to fraction form
    10,393.84/14,343.44 = 5,678.09/x
  3. Step 3: Cross multiply
    10,393.84x = 14,343.44 × 5,678.09
  4. Step 4: Simplify right side
    10,393.84x = 81,443,343.23
  5. Step 5: Solve for x
    x = 81,443,343.23/10,393.84
  6. Step 6: Final answer
    x = 7,835.73

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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.