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Finding the Fourth Proportional to 11,749.72, 16,214.93 and 6,714.76

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Solution

The fourth proportional to 11,749.72, 16,214.93 and 6,714.76 is: 9,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.72 : 16,214.93 = 6,714.76 : x
  2. Step 2: Convert to fraction form
    11,749.72/16,214.93 = 6,714.76/x
  3. Step 3: Cross multiply
    11,749.72x = 16,214.93 × 6,714.76
  4. Step 4: Simplify right side
    11,749.72x = 108,879,363.37
  5. Step 5: Solve for x
    x = 108,879,363.37/11,749.72
  6. Step 6: Final answer
    x = 9,266.55

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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.