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Finding the Fourth Proportional to 11,647.09, 16,073.02 and 6,341.94

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Solution

The fourth proportional to 11,647.09, 16,073.02 and 6,341.94 is: 8,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.09 : 16,073.02 = 6,341.94 : x
  2. Step 2: Convert to fraction form
    11,647.09/16,073.02 = 6,341.94/x
  3. Step 3: Cross multiply
    11,647.09x = 16,073.02 × 6,341.94
  4. Step 4: Simplify right side
    11,647.09x = 101,934,128.46
  5. Step 5: Solve for x
    x = 101,934,128.46/11,647.09
  6. Step 6: Final answer
    x = 8,751.90

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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.