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Finding the Fourth Proportional to 7,833.12, 11,726.64 and 5,229.60

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Solution

The fourth proportional to 7,833.12, 11,726.64 and 5,229.60 is: 7,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.12 : 11,726.64 = 5,229.60 : x
  2. Step 2: Convert to fraction form
    7,833.12/11,726.64 = 5,229.60/x
  3. Step 3: Cross multiply
    7,833.12x = 11,726.64 × 5,229.60
  4. Step 4: Simplify right side
    7,833.12x = 61,325,636.54
  5. Step 5: Solve for x
    x = 61,325,636.54/7,833.12
  6. Step 6: Final answer
    x = 7,829.02

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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.