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Finding the Fourth Proportional to 7,776.08, 11,657.73 and 3,094.09

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Solution

The fourth proportional to 7,776.08, 11,657.73 and 3,094.09 is: 4,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.08 : 11,657.73 = 3,094.09 : x
  2. Step 2: Convert to fraction form
    7,776.08/11,657.73 = 3,094.09/x
  3. Step 3: Cross multiply
    7,776.08x = 11,657.73 × 3,094.09
  4. Step 4: Simplify right side
    7,776.08x = 36,070,065.82
  5. Step 5: Solve for x
    x = 36,070,065.82/7,776.08
  6. Step 6: Final answer
    x = 4,638.59

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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.