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Finding the Fourth Proportional to 27,256.80, 40,880.02 and 8,534

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Solution

The fourth proportional to 27,256.80, 40,880.02 and 8,534 is: 12,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,256.80 : 40,880.02 = 8,534 : x
  2. Step 2: Convert to fraction form
    27,256.80/40,880.02 = 8,534/x
  3. Step 3: Cross multiply
    27,256.80x = 40,880.02 × 8,534
  4. Step 4: Simplify right side
    27,256.80x = 348,870,090.68
  5. Step 5: Solve for x
    x = 348,870,090.68/27,256.80
  6. Step 6: Final answer
    x = 12,799.38

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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.