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Finding the Fourth Proportional to 6,814.60, 10,221.52 and 1,816.84

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Solution

The fourth proportional to 6,814.60, 10,221.52 and 1,816.84 is: 2,725.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.60 : 10,221.52 = 1,816.84 : x
  2. Step 2: Convert to fraction form
    6,814.60/10,221.52 = 1,816.84/x
  3. Step 3: Cross multiply
    6,814.60x = 10,221.52 × 1,816.84
  4. Step 4: Simplify right side
    6,814.60x = 18,570,866.40
  5. Step 5: Solve for x
    x = 18,570,866.40/6,814.60
  6. Step 6: Final answer
    x = 2,725.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.