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Finding the Fourth Proportional to 11,674.31, 16,111.89 and 6,500.70

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Solution

The fourth proportional to 11,674.31, 16,111.89 and 6,500.70 is: 8,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.31 : 16,111.89 = 6,500.70 : x
  2. Step 2: Convert to fraction form
    11,674.31/16,111.89 = 6,500.70/x
  3. Step 3: Cross multiply
    11,674.31x = 16,111.89 × 6,500.70
  4. Step 4: Simplify right side
    11,674.31x = 104,738,623.74
  5. Step 5: Solve for x
    x = 104,738,623.74/11,674.31
  6. Step 6: Final answer
    x = 8,971.72

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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.