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Finding the Fourth Proportional to 11,624.94, 16,042.43 and 6,319.76

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Solution

The fourth proportional to 11,624.94, 16,042.43 and 6,319.76 is: 8,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.94 : 16,042.43 = 6,319.76 : x
  2. Step 2: Convert to fraction form
    11,624.94/16,042.43 = 6,319.76/x
  3. Step 3: Cross multiply
    11,624.94x = 16,042.43 × 6,319.76
  4. Step 4: Simplify right side
    11,624.94x = 101,384,315.92
  5. Step 5: Solve for x
    x = 101,384,315.92/11,624.94
  6. Step 6: Final answer
    x = 8,721.28

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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.