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Finding the Fourth Proportional to 7,462.63, 10,296.21 and 4,477.38

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Solution

The fourth proportional to 7,462.63, 10,296.21 and 4,477.38 is: 6,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.63 : 10,296.21 = 4,477.38 : x
  2. Step 2: Convert to fraction form
    7,462.63/10,296.21 = 4,477.38/x
  3. Step 3: Cross multiply
    7,462.63x = 10,296.21 × 4,477.38
  4. Step 4: Simplify right side
    7,462.63x = 46,100,022.91
  5. Step 5: Solve for x
    x = 46,100,022.91/7,462.63
  6. Step 6: Final answer
    x = 6,177.45

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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.