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Finding the Fourth Proportional to 7,714.35, 11,571.52 and 1,870.96

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Solution

The fourth proportional to 7,714.35, 11,571.52 and 1,870.96 is: 2,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.35 : 11,571.52 = 1,870.96 : x
  2. Step 2: Convert to fraction form
    7,714.35/11,571.52 = 1,870.96/x
  3. Step 3: Cross multiply
    7,714.35x = 11,571.52 × 1,870.96
  4. Step 4: Simplify right side
    7,714.35x = 21,649,807.67
  5. Step 5: Solve for x
    x = 21,649,807.67/7,714.35
  6. Step 6: Final answer
    x = 2,806.43

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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.