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Finding the Fourth Proportional to 11,684.49, 16,124.46 and 7,206.45

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Solution

The fourth proportional to 11,684.49, 16,124.46 and 7,206.45 is: 9,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.49 : 16,124.46 = 7,206.45 : x
  2. Step 2: Convert to fraction form
    11,684.49/16,124.46 = 7,206.45/x
  3. Step 3: Cross multiply
    11,684.49x = 16,124.46 × 7,206.45
  4. Step 4: Simplify right side
    11,684.49x = 116,200,114.77
  5. Step 5: Solve for x
    x = 116,200,114.77/11,684.49
  6. Step 6: Final answer
    x = 9,944.82

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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.