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Finding the Fourth Proportional to 8,142.30, 12,197.73 and 4,858.02

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Solution

The fourth proportional to 8,142.30, 12,197.73 and 4,858.02 is: 7,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.30 : 12,197.73 = 4,858.02 : x
  2. Step 2: Convert to fraction form
    8,142.30/12,197.73 = 4,858.02/x
  3. Step 3: Cross multiply
    8,142.30x = 12,197.73 × 4,858.02
  4. Step 4: Simplify right side
    8,142.30x = 59,256,816.29
  5. Step 5: Solve for x
    x = 59,256,816.29/8,142.30
  6. Step 6: Final answer
    x = 7,277.65

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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.