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Finding the Fourth Proportional to 8,047.10, 12,095.26 and 7,874.84

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Solution

The fourth proportional to 8,047.10, 12,095.26 and 7,874.84 is: 11,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.10 : 12,095.26 = 7,874.84 : x
  2. Step 2: Convert to fraction form
    8,047.10/12,095.26 = 7,874.84/x
  3. Step 3: Cross multiply
    8,047.10x = 12,095.26 × 7,874.84
  4. Step 4: Simplify right side
    8,047.10x = 95,248,237.26
  5. Step 5: Solve for x
    x = 95,248,237.26/8,047.10
  6. Step 6: Final answer
    x = 11,836.34

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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.