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Finding the Fourth Proportional to 11,780.59, 17,676.93 and 6,514.63

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Solution

The fourth proportional to 11,780.59, 17,676.93 and 6,514.63 is: 9,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.59 : 17,676.93 = 6,514.63 : x
  2. Step 2: Convert to fraction form
    11,780.59/17,676.93 = 6,514.63/x
  3. Step 3: Cross multiply
    11,780.59x = 17,676.93 × 6,514.63
  4. Step 4: Simplify right side
    11,780.59x = 115,158,658.49
  5. Step 5: Solve for x
    x = 115,158,658.49/11,780.59
  6. Step 6: Final answer
    x = 9,775.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.