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Finding the Fourth Proportional to 11,829.15, 17,728.65 and 6,285.15

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Solution

The fourth proportional to 11,829.15, 17,728.65 and 6,285.15 is: 9,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.15 : 17,728.65 = 6,285.15 : x
  2. Step 2: Convert to fraction form
    11,829.15/17,728.65 = 6,285.15/x
  3. Step 3: Cross multiply
    11,829.15x = 17,728.65 × 6,285.15
  4. Step 4: Simplify right side
    11,829.15x = 111,427,224.55
  5. Step 5: Solve for x
    x = 111,427,224.55/11,829.15
  6. Step 6: Final answer
    x = 9,419.72

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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.