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Finding the Fourth Proportional to 7,714.06, 11,571.05 and 1,870.67

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Solution

The fourth proportional to 7,714.06, 11,571.05 and 1,870.67 is: 2,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.06 : 11,571.05 = 1,870.67 : x
  2. Step 2: Convert to fraction form
    7,714.06/11,571.05 = 1,870.67/x
  3. Step 3: Cross multiply
    7,714.06x = 11,571.05 × 1,870.67
  4. Step 4: Simplify right side
    7,714.06x = 21,645,574.10
  5. Step 5: Solve for x
    x = 21,645,574.10/7,714.06
  6. Step 6: Final answer
    x = 2,805.99

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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.