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Finding the Fourth Proportional to 7,537.98, 10,402.74 and 5,016.03

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Solution

The fourth proportional to 7,537.98, 10,402.74 and 5,016.03 is: 6,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.98 : 10,402.74 = 5,016.03 : x
  2. Step 2: Convert to fraction form
    7,537.98/10,402.74 = 5,016.03/x
  3. Step 3: Cross multiply
    7,537.98x = 10,402.74 × 5,016.03
  4. Step 4: Simplify right side
    7,537.98x = 52,180,455.92
  5. Step 5: Solve for x
    x = 52,180,455.92/7,537.98
  6. Step 6: Final answer
    x = 6,922.34

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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.