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Finding the Fourth Proportional to 10,872.36, 15,004.14 and 6,156.96

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Solution

The fourth proportional to 10,872.36, 15,004.14 and 6,156.96 is: 8,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.36 : 15,004.14 = 6,156.96 : x
  2. Step 2: Convert to fraction form
    10,872.36/15,004.14 = 6,156.96/x
  3. Step 3: Cross multiply
    10,872.36x = 15,004.14 × 6,156.96
  4. Step 4: Simplify right side
    10,872.36x = 92,379,889.81
  5. Step 5: Solve for x
    x = 92,379,889.81/10,872.36
  6. Step 6: Final answer
    x = 8,496.77

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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.