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Finding the Fourth Proportional to 11,749.68, 16,196.16 and 8,905.68

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Solution

The fourth proportional to 11,749.68, 16,196.16 and 8,905.68 is: 12,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.68 : 16,196.16 = 8,905.68 : x
  2. Step 2: Convert to fraction form
    11,749.68/16,196.16 = 8,905.68/x
  3. Step 3: Cross multiply
    11,749.68x = 16,196.16 × 8,905.68
  4. Step 4: Simplify right side
    11,749.68x = 144,237,818.19
  5. Step 5: Solve for x
    x = 144,237,818.19/11,749.68
  6. Step 6: Final answer
    x = 12,275.89

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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.