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Finding the Fourth Proportional to 7,714.72, 11,564.40 and 3,100.96

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Solution

The fourth proportional to 7,714.72, 11,564.40 and 3,100.96 is: 4,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.72 : 11,564.40 = 3,100.96 : x
  2. Step 2: Convert to fraction form
    7,714.72/11,564.40 = 3,100.96/x
  3. Step 3: Cross multiply
    7,714.72x = 11,564.40 × 3,100.96
  4. Step 4: Simplify right side
    7,714.72x = 35,860,741.82
  5. Step 5: Solve for x
    x = 35,860,741.82/7,714.72
  6. Step 6: Final answer
    x = 4,648.35

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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.