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Finding the Fourth Proportional to 11,600.34, 16,010.75 and 6,821.86

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Solution

The fourth proportional to 11,600.34, 16,010.75 and 6,821.86 is: 9,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.34 : 16,010.75 = 6,821.86 : x
  2. Step 2: Convert to fraction form
    11,600.34/16,010.75 = 6,821.86/x
  3. Step 3: Cross multiply
    11,600.34x = 16,010.75 × 6,821.86
  4. Step 4: Simplify right side
    11,600.34x = 109,223,095.00
  5. Step 5: Solve for x
    x = 109,223,095.00/11,600.34
  6. Step 6: Final answer
    x = 9,415.51

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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.