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Finding the Fourth Proportional to 7,376.94, 11,065.61 and 1,830.20

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Solution

The fourth proportional to 7,376.94, 11,065.61 and 1,830.20 is: 2,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,376.94 : 11,065.61 = 1,830.20 : x
  2. Step 2: Convert to fraction form
    7,376.94/11,065.61 = 1,830.20/x
  3. Step 3: Cross multiply
    7,376.94x = 11,065.61 × 1,830.20
  4. Step 4: Simplify right side
    7,376.94x = 20,252,228.67
  5. Step 5: Solve for x
    x = 20,252,228.67/7,376.94
  6. Step 6: Final answer
    x = 2,745.34

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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.