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Finding the Fourth Proportional to 8,514.67, 11,748.48 and 4,977.19

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Solution

The fourth proportional to 8,514.67, 11,748.48 and 4,977.19 is: 6,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.67 : 11,748.48 = 4,977.19 : x
  2. Step 2: Convert to fraction form
    8,514.67/11,748.48 = 4,977.19/x
  3. Step 3: Cross multiply
    8,514.67x = 11,748.48 × 4,977.19
  4. Step 4: Simplify right side
    8,514.67x = 58,474,392.29
  5. Step 5: Solve for x
    x = 58,474,392.29/8,514.67
  6. Step 6: Final answer
    x = 6,867.49

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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.