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Finding the Fourth Proportional to 10,393.75, 14,343.69 and 5,678.34

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Solution

The fourth proportional to 10,393.75, 14,343.69 and 5,678.34 is: 7,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.75 : 14,343.69 = 5,678.34 : x
  2. Step 2: Convert to fraction form
    10,393.75/14,343.69 = 5,678.34/x
  3. Step 3: Cross multiply
    10,393.75x = 14,343.69 × 5,678.34
  4. Step 4: Simplify right side
    10,393.75x = 81,448,348.67
  5. Step 5: Solve for x
    x = 81,448,348.67/10,393.75
  6. Step 6: Final answer
    x = 7,836.28

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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.