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Finding the Fourth Proportional to 7,830.12, 11,745.14 and 2,283.62

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Solution

The fourth proportional to 7,830.12, 11,745.14 and 2,283.62 is: 3,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.12 : 11,745.14 = 2,283.62 : x
  2. Step 2: Convert to fraction form
    7,830.12/11,745.14 = 2,283.62/x
  3. Step 3: Cross multiply
    7,830.12x = 11,745.14 × 2,283.62
  4. Step 4: Simplify right side
    7,830.12x = 26,821,436.61
  5. Step 5: Solve for x
    x = 26,821,436.61/7,830.12
  6. Step 6: Final answer
    x = 3,425.42

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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.