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Finding the Fourth Proportional to 11,749.64, 16,214.51 and 6,444.48

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Solution

The fourth proportional to 11,749.64, 16,214.51 and 6,444.48 is: 8,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.64 : 16,214.51 = 6,444.48 : x
  2. Step 2: Convert to fraction form
    11,749.64/16,214.51 = 6,444.48/x
  3. Step 3: Cross multiply
    11,749.64x = 16,214.51 × 6,444.48
  4. Step 4: Simplify right side
    11,749.64x = 104,494,071.11
  5. Step 5: Solve for x
    x = 104,494,071.11/11,749.64
  6. Step 6: Final answer
    x = 8,893.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.