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Finding the Fourth Proportional to 7,841.78, 11,763.74 and 2,911.01

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Solution

The fourth proportional to 7,841.78, 11,763.74 and 2,911.01 is: 4,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.78 : 11,763.74 = 2,911.01 : x
  2. Step 2: Convert to fraction form
    7,841.78/11,763.74 = 2,911.01/x
  3. Step 3: Cross multiply
    7,841.78x = 11,763.74 × 2,911.01
  4. Step 4: Simplify right side
    7,841.78x = 34,244,291.40
  5. Step 5: Solve for x
    x = 34,244,291.40/7,841.78
  6. Step 6: Final answer
    x = 4,366.91

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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.