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Finding the Fourth Proportional to 7,816.34, 10,786.47 and 4,279.34

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Solution

The fourth proportional to 7,816.34, 10,786.47 and 4,279.34 is: 5,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.34 : 10,786.47 = 4,279.34 : x
  2. Step 2: Convert to fraction form
    7,816.34/10,786.47 = 4,279.34/x
  3. Step 3: Cross multiply
    7,816.34x = 10,786.47 × 4,279.34
  4. Step 4: Simplify right side
    7,816.34x = 46,158,972.53
  5. Step 5: Solve for x
    x = 46,158,972.53/7,816.34
  6. Step 6: Final answer
    x = 5,905.45

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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.