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Finding the Fourth Proportional to 11,770.94, 16,244.26 and 6,465.76

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Solution

The fourth proportional to 11,770.94, 16,244.26 and 6,465.76 is: 8,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.94 : 16,244.26 = 6,465.76 : x
  2. Step 2: Convert to fraction form
    11,770.94/16,244.26 = 6,465.76/x
  3. Step 3: Cross multiply
    11,770.94x = 16,244.26 × 6,465.76
  4. Step 4: Simplify right side
    11,770.94x = 105,031,429.76
  5. Step 5: Solve for x
    x = 105,031,429.76/11,770.94
  6. Step 6: Final answer
    x = 8,922.94

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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.