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Finding the Fourth Proportional to 10,705.86, 14,774.16 and 5,990.22

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Solution

The fourth proportional to 10,705.86, 14,774.16 and 5,990.22 is: 8,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.86 : 14,774.16 = 5,990.22 : x
  2. Step 2: Convert to fraction form
    10,705.86/14,774.16 = 5,990.22/x
  3. Step 3: Cross multiply
    10,705.86x = 14,774.16 × 5,990.22
  4. Step 4: Simplify right side
    10,705.86x = 88,500,468.72
  5. Step 5: Solve for x
    x = 88,500,468.72/10,705.86
  6. Step 6: Final answer
    x = 8,266.54

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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.