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Finding the Fourth Proportional to 8,095.90, 11,164.08 and 7,914.86

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Solution

The fourth proportional to 8,095.90, 11,164.08 and 7,914.86 is: 10,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.90 : 11,164.08 = 7,914.86 : x
  2. Step 2: Convert to fraction form
    8,095.90/11,164.08 = 7,914.86/x
  3. Step 3: Cross multiply
    8,095.90x = 11,164.08 × 7,914.86
  4. Step 4: Simplify right side
    8,095.90x = 88,362,130.23
  5. Step 5: Solve for x
    x = 88,362,130.23/8,095.90
  6. Step 6: Final answer
    x = 10,914.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.