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Finding the Fourth Proportional to 7,419.53, 10,238.96 and 4,062.38

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Solution

The fourth proportional to 7,419.53, 10,238.96 and 4,062.38 is: 5,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.53 : 10,238.96 = 4,062.38 : x
  2. Step 2: Convert to fraction form
    7,419.53/10,238.96 = 4,062.38/x
  3. Step 3: Cross multiply
    7,419.53x = 10,238.96 × 4,062.38
  4. Step 4: Simplify right side
    7,419.53x = 41,594,474.82
  5. Step 5: Solve for x
    x = 41,594,474.82/7,419.53
  6. Step 6: Final answer
    x = 5,606.08

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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.