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Finding the Fourth Proportional to 8,992.14, 12,415.05 and 5,806.86

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Solution

The fourth proportional to 8,992.14, 12,415.05 and 5,806.86 is: 8,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.14 : 12,415.05 = 5,806.86 : x
  2. Step 2: Convert to fraction form
    8,992.14/12,415.05 = 5,806.86/x
  3. Step 3: Cross multiply
    8,992.14x = 12,415.05 × 5,806.86
  4. Step 4: Simplify right side
    8,992.14x = 72,092,457.24
  5. Step 5: Solve for x
    x = 72,092,457.24/8,992.14
  6. Step 6: Final answer
    x = 8,017.27

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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.