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Finding the Fourth Proportional to 11,667.84, 16,101.65 and 6,362.64

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Solution

The fourth proportional to 11,667.84, 16,101.65 and 6,362.64 is: 8,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.84 : 16,101.65 = 6,362.64 : x
  2. Step 2: Convert to fraction form
    11,667.84/16,101.65 = 6,362.64/x
  3. Step 3: Cross multiply
    11,667.84x = 16,101.65 × 6,362.64
  4. Step 4: Simplify right side
    11,667.84x = 102,449,002.36
  5. Step 5: Solve for x
    x = 102,449,002.36/11,667.84
  6. Step 6: Final answer
    x = 8,780.46

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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.