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Finding the Fourth Proportional to 7,714.02, 11,568.06 and 2,782.38

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Solution

The fourth proportional to 7,714.02, 11,568.06 and 2,782.38 is: 4,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.02 : 11,568.06 = 2,782.38 : x
  2. Step 2: Convert to fraction form
    7,714.02/11,568.06 = 2,782.38/x
  3. Step 3: Cross multiply
    7,714.02x = 11,568.06 × 2,782.38
  4. Step 4: Simplify right side
    7,714.02x = 32,186,738.78
  5. Step 5: Solve for x
    x = 32,186,738.78/7,714.02
  6. Step 6: Final answer
    x = 4,172.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.