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Finding the Fourth Proportional to 8,514.31, 11,749.64 and 4,788.31

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Solution

The fourth proportional to 8,514.31, 11,749.64 and 4,788.31 is: 6,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.31 : 11,749.64 = 4,788.31 : x
  2. Step 2: Convert to fraction form
    8,514.31/11,749.64 = 4,788.31/x
  3. Step 3: Cross multiply
    8,514.31x = 11,749.64 × 4,788.31
  4. Step 4: Simplify right side
    8,514.31x = 56,260,894.77
  5. Step 5: Solve for x
    x = 56,260,894.77/8,514.31
  6. Step 6: Final answer
    x = 6,607.80

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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.