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Finding the Fourth Proportional to 7,820.65, 11,728.50 and 2,554.46

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Solution

The fourth proportional to 7,820.65, 11,728.50 and 2,554.46 is: 3,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.65 : 11,728.50 = 2,554.46 : x
  2. Step 2: Convert to fraction form
    7,820.65/11,728.50 = 2,554.46/x
  3. Step 3: Cross multiply
    7,820.65x = 11,728.50 × 2,554.46
  4. Step 4: Simplify right side
    7,820.65x = 29,959,992.86
  5. Step 5: Solve for x
    x = 29,959,992.86/7,820.65
  6. Step 6: Final answer
    x = 3,830.88

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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.