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Finding the Fourth Proportional to 11,680.84, 16,120.74 and 7,205.32

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Solution

The fourth proportional to 11,680.84, 16,120.74 and 7,205.32 is: 9,944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.84 : 16,120.74 = 7,205.32 : x
  2. Step 2: Convert to fraction form
    11,680.84/16,120.74 = 7,205.32/x
  3. Step 3: Cross multiply
    11,680.84x = 16,120.74 × 7,205.32
  4. Step 4: Simplify right side
    11,680.84x = 116,155,090.34
  5. Step 5: Solve for x
    x = 116,155,090.34/11,680.84
  6. Step 6: Final answer
    x = 9,944.07

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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.