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Finding the Fourth Proportional to 7,714.19, 11,564.28 and 2,780.33

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Solution

The fourth proportional to 7,714.19, 11,564.28 and 2,780.33 is: 4,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.19 : 11,564.28 = 2,780.33 : x
  2. Step 2: Convert to fraction form
    7,714.19/11,564.28 = 2,780.33/x
  3. Step 3: Cross multiply
    7,714.19x = 11,564.28 × 2,780.33
  4. Step 4: Simplify right side
    7,714.19x = 32,152,456.79
  5. Step 5: Solve for x
    x = 32,152,456.79/7,714.19
  6. Step 6: Final answer
    x = 4,167.96

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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.