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Finding the Fourth Proportional to 15,372, 23,058 and 4,983.75

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Solution

The fourth proportional to 15,372, 23,058 and 4,983.75 is: 7,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,372 : 23,058 = 4,983.75 : x
  2. Step 2: Convert to fraction form
    15,372/23,058 = 4,983.75/x
  3. Step 3: Cross multiply
    15,372x = 23,058 × 4,983.75
  4. Step 4: Simplify right side
    15,372x = 114,915,307.50
  5. Step 5: Solve for x
    x = 114,915,307.50/15,372
  6. Step 6: Final answer
    x = 7,475.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.