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Finding the Fourth Proportional to 8,193.51, 12,207.83 and 8,111.57

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Solution

The fourth proportional to 8,193.51, 12,207.83 and 8,111.57 is: 12,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.51 : 12,207.83 = 8,111.57 : x
  2. Step 2: Convert to fraction form
    8,193.51/12,207.83 = 8,111.57/x
  3. Step 3: Cross multiply
    8,193.51x = 12,207.83 × 8,111.57
  4. Step 4: Simplify right side
    8,193.51x = 99,024,566.00
  5. Step 5: Solve for x
    x = 99,024,566.00/8,193.51
  6. Step 6: Final answer
    x = 12,085.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.