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Finding the Fourth Proportional to 7,441, 10,268.58 and 4,129

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Solution

The fourth proportional to 7,441, 10,268.58 and 4,129 is: 5,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441 : 10,268.58 = 4,129 : x
  2. Step 2: Convert to fraction form
    7,441/10,268.58 = 4,129/x
  3. Step 3: Cross multiply
    7,441x = 10,268.58 × 4,129
  4. Step 4: Simplify right side
    7,441x = 42,398,966.82
  5. Step 5: Solve for x
    x = 42,398,966.82/7,441
  6. Step 6: Final answer
    x = 5,698.02

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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.