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Finding the Fourth Proportional to 7,877.37, 11,815.14 and 2,033.52

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Solution

The fourth proportional to 7,877.37, 11,815.14 and 2,033.52 is: 3,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.37 : 11,815.14 = 2,033.52 : x
  2. Step 2: Convert to fraction form
    7,877.37/11,815.14 = 2,033.52/x
  3. Step 3: Cross multiply
    7,877.37x = 11,815.14 × 2,033.52
  4. Step 4: Simplify right side
    7,877.37x = 24,026,323.49
  5. Step 5: Solve for x
    x = 24,026,323.49/7,877.37
  6. Step 6: Final answer
    x = 3,050.04

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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.