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Finding the Fourth Proportional to 7,714.34, 11,571.55 and 1,870.96

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Solution

The fourth proportional to 7,714.34, 11,571.55 and 1,870.96 is: 2,806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.34 : 11,571.55 = 1,870.96 : x
  2. Step 2: Convert to fraction form
    7,714.34/11,571.55 = 1,870.96/x
  3. Step 3: Cross multiply
    7,714.34x = 11,571.55 × 1,870.96
  4. Step 4: Simplify right side
    7,714.34x = 21,649,907.19
  5. Step 5: Solve for x
    x = 21,649,907.19/7,714.34
  6. Step 6: Final answer
    x = 2,806.45

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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.