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Finding the Fourth Proportional to 7,714.49, 11,569.34 and 2,783.50

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Solution

The fourth proportional to 7,714.49, 11,569.34 and 2,783.50 is: 4,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.49 : 11,569.34 = 2,783.50 : x
  2. Step 2: Convert to fraction form
    7,714.49/11,569.34 = 2,783.50/x
  3. Step 3: Cross multiply
    7,714.49x = 11,569.34 × 2,783.50
  4. Step 4: Simplify right side
    7,714.49x = 32,203,235.93
  5. Step 5: Solve for x
    x = 32,203,235.93/7,714.49
  6. Step 6: Final answer
    x = 4,174.39

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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.