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Finding the Fourth Proportional to 8,713, 12,024 and 4,734.12

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Solution

The fourth proportional to 8,713, 12,024 and 4,734.12 is: 6,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713 : 12,024 = 4,734.12 : x
  2. Step 2: Convert to fraction form
    8,713/12,024 = 4,734.12/x
  3. Step 3: Cross multiply
    8,713x = 12,024 × 4,734.12
  4. Step 4: Simplify right side
    8,713x = 56,923,058.88
  5. Step 5: Solve for x
    x = 56,923,058.88/8,713
  6. Step 6: Final answer
    x = 6,533.12

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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.