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Finding the Fourth Proportional to 7,125.43, 9,827.85 and 5,236.38

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Solution

The fourth proportional to 7,125.43, 9,827.85 and 5,236.38 is: 7,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.43 : 9,827.85 = 5,236.38 : x
  2. Step 2: Convert to fraction form
    7,125.43/9,827.85 = 5,236.38/x
  3. Step 3: Cross multiply
    7,125.43x = 9,827.85 × 5,236.38
  4. Step 4: Simplify right side
    7,125.43x = 51,462,357.18
  5. Step 5: Solve for x
    x = 51,462,357.18/7,125.43
  6. Step 6: Final answer
    x = 7,222.35

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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.