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Finding the Fourth Proportional to 8,372, 12,563.76 and 2,900

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Solution

The fourth proportional to 8,372, 12,563.76 and 2,900 is: 4,352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,372 : 12,563.76 = 2,900 : x
  2. Step 2: Convert to fraction form
    8,372/12,563.76 = 2,900/x
  3. Step 3: Cross multiply
    8,372x = 12,563.76 × 2,900
  4. Step 4: Simplify right side
    8,372x = 36,434,904
  5. Step 5: Solve for x
    x = 36,434,904/8,372
  6. Step 6: Final answer
    x = 4,352.00

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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.