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Finding the Fourth Proportional to 7,391.63, 10,203.36 and 5,035.07

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Solution

The fourth proportional to 7,391.63, 10,203.36 and 5,035.07 is: 6,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.63 : 10,203.36 = 5,035.07 : x
  2. Step 2: Convert to fraction form
    7,391.63/10,203.36 = 5,035.07/x
  3. Step 3: Cross multiply
    7,391.63x = 10,203.36 × 5,035.07
  4. Step 4: Simplify right side
    7,391.63x = 51,374,631.84
  5. Step 5: Solve for x
    x = 51,374,631.84/7,391.63
  6. Step 6: Final answer
    x = 6,950.38

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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.