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Finding the Fourth Proportional to 7,714.26, 11,571.42 and 1,870.86

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Solution

The fourth proportional to 7,714.26, 11,571.42 and 1,870.86 is: 2,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.26 : 11,571.42 = 1,870.86 : x
  2. Step 2: Convert to fraction form
    7,714.26/11,571.42 = 1,870.86/x
  3. Step 3: Cross multiply
    7,714.26x = 11,571.42 × 1,870.86
  4. Step 4: Simplify right side
    7,714.26x = 21,648,506.82
  5. Step 5: Solve for x
    x = 21,648,506.82/7,714.26
  6. Step 6: Final answer
    x = 2,806.30

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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.