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Finding the Fourth Proportional to 7,901.41, 10,904.85 and 4,544.38

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Solution

The fourth proportional to 7,901.41, 10,904.85 and 4,544.38 is: 6,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.41 : 10,904.85 = 4,544.38 : x
  2. Step 2: Convert to fraction form
    7,901.41/10,904.85 = 4,544.38/x
  3. Step 3: Cross multiply
    7,901.41x = 10,904.85 × 4,544.38
  4. Step 4: Simplify right side
    7,901.41x = 49,555,782.24
  5. Step 5: Solve for x
    x = 49,555,782.24/7,901.41
  6. Step 6: Final answer
    x = 6,271.76

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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.