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Finding the Fourth Proportional to 11,749.63, 16,214.98 and 6,444.67

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Solution

The fourth proportional to 11,749.63, 16,214.98 and 6,444.67 is: 8,893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.63 : 16,214.98 = 6,444.67 : x
  2. Step 2: Convert to fraction form
    11,749.63/16,214.98 = 6,444.67/x
  3. Step 3: Cross multiply
    11,749.63x = 16,214.98 × 6,444.67
  4. Step 4: Simplify right side
    11,749.63x = 104,500,195.16
  5. Step 5: Solve for x
    x = 104,500,195.16/11,749.63
  6. Step 6: Final answer
    x = 8,893.91

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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.