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Finding the Fourth Proportional to 7,818.50, 11,728.27 and 2,752.08

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Solution

The fourth proportional to 7,818.50, 11,728.27 and 2,752.08 is: 4,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.50 : 11,728.27 = 2,752.08 : x
  2. Step 2: Convert to fraction form
    7,818.50/11,728.27 = 2,752.08/x
  3. Step 3: Cross multiply
    7,818.50x = 11,728.27 × 2,752.08
  4. Step 4: Simplify right side
    7,818.50x = 32,277,080.31
  5. Step 5: Solve for x
    x = 32,277,080.31/7,818.50
  6. Step 6: Final answer
    x = 4,128.30

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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.