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Finding the Fourth Proportional to 28,334.27, 42,503.81 and 8,613

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Solution

The fourth proportional to 28,334.27, 42,503.81 and 8,613 is: 12,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,334.27 : 42,503.81 = 8,613 : x
  2. Step 2: Convert to fraction form
    28,334.27/42,503.81 = 8,613/x
  3. Step 3: Cross multiply
    28,334.27x = 42,503.81 × 8,613
  4. Step 4: Simplify right side
    28,334.27x = 366,085,272.47
  5. Step 5: Solve for x
    x = 366,085,272.47/28,334.27
  6. Step 6: Final answer
    x = 12,920.23

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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.