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Finding the Fourth Proportional to 7,878.73, 11,820.25 and 4,130.75

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Solution

The fourth proportional to 7,878.73, 11,820.25 and 4,130.75 is: 6,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.73 : 11,820.25 = 4,130.75 : x
  2. Step 2: Convert to fraction form
    7,878.73/11,820.25 = 4,130.75/x
  3. Step 3: Cross multiply
    7,878.73x = 11,820.25 × 4,130.75
  4. Step 4: Simplify right side
    7,878.73x = 48,826,477.03
  5. Step 5: Solve for x
    x = 48,826,477.03/7,878.73
  6. Step 6: Final answer
    x = 6,197.26

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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.