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Finding the Fourth Proportional to 11,883.84, 16,403.32 and 7,105.76

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Solution

The fourth proportional to 11,883.84, 16,403.32 and 7,105.76 is: 9,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.84 : 16,403.32 = 7,105.76 : x
  2. Step 2: Convert to fraction form
    11,883.84/16,403.32 = 7,105.76/x
  3. Step 3: Cross multiply
    11,883.84x = 16,403.32 × 7,105.76
  4. Step 4: Simplify right side
    11,883.84x = 116,558,055.12
  5. Step 5: Solve for x
    x = 116,558,055.12/11,883.84
  6. Step 6: Final answer
    x = 9,808.11

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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.