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Finding the Fourth Proportional to 11,256.50, 16,885.59 and 4,331

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Solution

The fourth proportional to 11,256.50, 16,885.59 and 4,331 is: 6,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.50 : 16,885.59 = 4,331 : x
  2. Step 2: Convert to fraction form
    11,256.50/16,885.59 = 4,331/x
  3. Step 3: Cross multiply
    11,256.50x = 16,885.59 × 4,331
  4. Step 4: Simplify right side
    11,256.50x = 73,131,490.29
  5. Step 5: Solve for x
    x = 73,131,490.29/11,256.50
  6. Step 6: Final answer
    x = 6,496.82

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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.