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Finding the Fourth Proportional to 8,094.46, 11,097.47 and 7,946.83

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Solution

The fourth proportional to 8,094.46, 11,097.47 and 7,946.83 is: 10,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.46 : 11,097.47 = 7,946.83 : x
  2. Step 2: Convert to fraction form
    8,094.46/11,097.47 = 7,946.83/x
  3. Step 3: Cross multiply
    8,094.46x = 11,097.47 × 7,946.83
  4. Step 4: Simplify right side
    8,094.46x = 88,189,707.52
  5. Step 5: Solve for x
    x = 88,189,707.52/8,094.46
  6. Step 6: Final answer
    x = 10,895.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.