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Finding the Fourth Proportional to 7,094.61, 10,641.91 and 3,194.46

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Solution

The fourth proportional to 7,094.61, 10,641.91 and 3,194.46 is: 4,791.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.61 : 10,641.91 = 3,194.46 : x
  2. Step 2: Convert to fraction form
    7,094.61/10,641.91 = 3,194.46/x
  3. Step 3: Cross multiply
    7,094.61x = 10,641.91 × 3,194.46
  4. Step 4: Simplify right side
    7,094.61x = 33,995,155.82
  5. Step 5: Solve for x
    x = 33,995,155.82/7,094.61
  6. Step 6: Final answer
    x = 4,791.69

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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.