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Finding the Fourth Proportional to 8,370.72, 12,558 and 2,823.90

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Solution

The fourth proportional to 8,370.72, 12,558 and 2,823.90 is: 4,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.72 : 12,558 = 2,823.90 : x
  2. Step 2: Convert to fraction form
    8,370.72/12,558 = 2,823.90/x
  3. Step 3: Cross multiply
    8,370.72x = 12,558 × 2,823.90
  4. Step 4: Simplify right side
    8,370.72x = 35,462,536.20
  5. Step 5: Solve for x
    x = 35,462,536.20/8,370.72
  6. Step 6: Final answer
    x = 4,236.50

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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.