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Finding the Fourth Proportional to 7,816.50, 10,786.82 and 4,459.28

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Solution

The fourth proportional to 7,816.50, 10,786.82 and 4,459.28 is: 6,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.50 : 10,786.82 = 4,459.28 : x
  2. Step 2: Convert to fraction form
    7,816.50/10,786.82 = 4,459.28/x
  3. Step 3: Cross multiply
    7,816.50x = 10,786.82 × 4,459.28
  4. Step 4: Simplify right side
    7,816.50x = 48,101,429.88
  5. Step 5: Solve for x
    x = 48,101,429.88/7,816.50
  6. Step 6: Final answer
    x = 6,153.83

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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.