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Finding the Fourth Proportional to 7,377.62, 11,066.13 and 1,830.85

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Solution

The fourth proportional to 7,377.62, 11,066.13 and 1,830.85 is: 2,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377.62 : 11,066.13 = 1,830.85 : x
  2. Step 2: Convert to fraction form
    7,377.62/11,066.13 = 1,830.85/x
  3. Step 3: Cross multiply
    7,377.62x = 11,066.13 × 1,830.85
  4. Step 4: Simplify right side
    7,377.62x = 20,260,396.45
  5. Step 5: Solve for x
    x = 20,260,396.45/7,377.62
  6. Step 6: Final answer
    x = 2,746.20

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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.