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Finding the Fourth Proportional to 10,867.50, 16,304.04 and 3,076.29

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Solution

The fourth proportional to 10,867.50, 16,304.04 and 3,076.29 is: 4,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.50 : 16,304.04 = 3,076.29 : x
  2. Step 2: Convert to fraction form
    10,867.50/16,304.04 = 3,076.29/x
  3. Step 3: Cross multiply
    10,867.50x = 16,304.04 × 3,076.29
  4. Step 4: Simplify right side
    10,867.50x = 50,155,955.21
  5. Step 5: Solve for x
    x = 50,155,955.21/10,867.50
  6. Step 6: Final answer
    x = 4,615.22

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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.