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Finding the Fourth Proportional to 7,635.75, 10,537.43 and 4,278.50

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Solution

The fourth proportional to 7,635.75, 10,537.43 and 4,278.50 is: 5,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.75 : 10,537.43 = 4,278.50 : x
  2. Step 2: Convert to fraction form
    7,635.75/10,537.43 = 4,278.50/x
  3. Step 3: Cross multiply
    7,635.75x = 10,537.43 × 4,278.50
  4. Step 4: Simplify right side
    7,635.75x = 45,084,394.26
  5. Step 5: Solve for x
    x = 45,084,394.26/7,635.75
  6. Step 6: Final answer
    x = 5,904.38

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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.