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Finding the Fourth Proportional to 7,428.81, 10,249.56 and 4,242

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Solution

The fourth proportional to 7,428.81, 10,249.56 and 4,242 is: 5,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.81 : 10,249.56 = 4,242 : x
  2. Step 2: Convert to fraction form
    7,428.81/10,249.56 = 4,242/x
  3. Step 3: Cross multiply
    7,428.81x = 10,249.56 × 4,242
  4. Step 4: Simplify right side
    7,428.81x = 43,478,633.52
  5. Step 5: Solve for x
    x = 43,478,633.52/7,428.81
  6. Step 6: Final answer
    x = 5,852.71

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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.