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Finding the Fourth Proportional to 7,277.42, 10,042.30 and 4,133

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Solution

The fourth proportional to 7,277.42, 10,042.30 and 4,133 is: 5,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.42 : 10,042.30 = 4,133 : x
  2. Step 2: Convert to fraction form
    7,277.42/10,042.30 = 4,133/x
  3. Step 3: Cross multiply
    7,277.42x = 10,042.30 × 4,133
  4. Step 4: Simplify right side
    7,277.42x = 41,504,825.90
  5. Step 5: Solve for x
    x = 41,504,825.90/7,277.42
  6. Step 6: Final answer
    x = 5,703.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.