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Finding the Fourth Proportional to 7,289.42, 10,065.75 and 5,714.78

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Solution

The fourth proportional to 7,289.42, 10,065.75 and 5,714.78 is: 7,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.42 : 10,065.75 = 5,714.78 : x
  2. Step 2: Convert to fraction form
    7,289.42/10,065.75 = 5,714.78/x
  3. Step 3: Cross multiply
    7,289.42x = 10,065.75 × 5,714.78
  4. Step 4: Simplify right side
    7,289.42x = 57,523,546.79
  5. Step 5: Solve for x
    x = 57,523,546.79/7,289.42
  6. Step 6: Final answer
    x = 7,891.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.