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Finding the Fourth Proportional to 7,581.52, 10,450.38 and 5,058.64

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Solution

The fourth proportional to 7,581.52, 10,450.38 and 5,058.64 is: 6,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.52 : 10,450.38 = 5,058.64 : x
  2. Step 2: Convert to fraction form
    7,581.52/10,450.38 = 5,058.64/x
  3. Step 3: Cross multiply
    7,581.52x = 10,450.38 × 5,058.64
  4. Step 4: Simplify right side
    7,581.52x = 52,864,710.28
  5. Step 5: Solve for x
    x = 52,864,710.28/7,581.52
  6. Step 6: Final answer
    x = 6,972.84

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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.