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Finding the Fourth Proportional to 8,113.99, 12,146.32 and 5,194.34

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Solution

The fourth proportional to 8,113.99, 12,146.32 and 5,194.34 is: 7,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.99 : 12,146.32 = 5,194.34 : x
  2. Step 2: Convert to fraction form
    8,113.99/12,146.32 = 5,194.34/x
  3. Step 3: Cross multiply
    8,113.99x = 12,146.32 × 5,194.34
  4. Step 4: Simplify right side
    8,113.99x = 63,092,089.86
  5. Step 5: Solve for x
    x = 63,092,089.86/8,113.99
  6. Step 6: Final answer
    x = 7,775.72

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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.