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Finding the Fourth Proportional to 28,884.93, 43,327.47 and 7,825.10

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Solution

The fourth proportional to 28,884.93, 43,327.47 and 7,825.10 is: 11,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,884.93 : 43,327.47 = 7,825.10 : x
  2. Step 2: Convert to fraction form
    28,884.93/43,327.47 = 7,825.10/x
  3. Step 3: Cross multiply
    28,884.93x = 43,327.47 × 7,825.10
  4. Step 4: Simplify right side
    28,884.93x = 339,041,568.86
  5. Step 5: Solve for x
    x = 339,041,568.86/28,884.93
  6. Step 6: Final answer
    x = 11,737.66

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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.