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Finding the Fourth Proportional to 12,076.96, 16,667.28 and 7,108

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Solution

The fourth proportional to 12,076.96, 16,667.28 and 7,108 is: 9,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.96 : 16,667.28 = 7,108 : x
  2. Step 2: Convert to fraction form
    12,076.96/16,667.28 = 7,108/x
  3. Step 3: Cross multiply
    12,076.96x = 16,667.28 × 7,108
  4. Step 4: Simplify right side
    12,076.96x = 118,471,026.24
  5. Step 5: Solve for x
    x = 118,471,026.24/12,076.96
  6. Step 6: Final answer
    x = 9,809.67

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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.