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Finding the Fourth Proportional to 7,797.01, 10,756.45 and 4,651.38

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Solution

The fourth proportional to 7,797.01, 10,756.45 and 4,651.38 is: 6,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.01 : 10,756.45 = 4,651.38 : x
  2. Step 2: Convert to fraction form
    7,797.01/10,756.45 = 4,651.38/x
  3. Step 3: Cross multiply
    7,797.01x = 10,756.45 × 4,651.38
  4. Step 4: Simplify right side
    7,797.01x = 50,032,336.40
  5. Step 5: Solve for x
    x = 50,032,336.40/7,797.01
  6. Step 6: Final answer
    x = 6,416.86

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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.