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Finding the Fourth Proportional to 11,749.84, 16,214.80 and 6,444.88

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Solution

The fourth proportional to 11,749.84, 16,214.80 and 6,444.88 is: 8,893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.84 : 16,214.80 = 6,444.88 : x
  2. Step 2: Convert to fraction form
    11,749.84/16,214.80 = 6,444.88/x
  3. Step 3: Cross multiply
    11,749.84x = 16,214.80 × 6,444.88
  4. Step 4: Simplify right side
    11,749.84x = 104,502,440.22
  5. Step 5: Solve for x
    x = 104,502,440.22/11,749.84
  6. Step 6: Final answer
    x = 8,893.95

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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.