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Finding the Fourth Proportional to 6,816.59, 10,224.86 and 1,886.19

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Solution

The fourth proportional to 6,816.59, 10,224.86 and 1,886.19 is: 2,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.59 : 10,224.86 = 1,886.19 : x
  2. Step 2: Convert to fraction form
    6,816.59/10,224.86 = 1,886.19/x
  3. Step 3: Cross multiply
    6,816.59x = 10,224.86 × 1,886.19
  4. Step 4: Simplify right side
    6,816.59x = 19,286,019.25
  5. Step 5: Solve for x
    x = 19,286,019.25/6,816.59
  6. Step 6: Final answer
    x = 2,829.28

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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.