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Finding the Fourth Proportional to 11,770.51, 16,219.86 and 8,403.85

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Solution

The fourth proportional to 11,770.51, 16,219.86 and 8,403.85 is: 11,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.51 : 16,219.86 = 8,403.85 : x
  2. Step 2: Convert to fraction form
    11,770.51/16,219.86 = 8,403.85/x
  3. Step 3: Cross multiply
    11,770.51x = 16,219.86 × 8,403.85
  4. Step 4: Simplify right side
    11,770.51x = 136,309,270.46
  5. Step 5: Solve for x
    x = 136,309,270.46/11,770.51
  6. Step 6: Final answer
    x = 11,580.57

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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.