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Finding the Fourth Proportional to 11,104.64, 15,331.20 and 10,048

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Solution

The fourth proportional to 11,104.64, 15,331.20 and 10,048 is: 13,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,104.64 : 15,331.20 = 10,048 : x
  2. Step 2: Convert to fraction form
    11,104.64/15,331.20 = 10,048/x
  3. Step 3: Cross multiply
    11,104.64x = 15,331.20 × 10,048
  4. Step 4: Simplify right side
    11,104.64x = 154,047,897.60
  5. Step 5: Solve for x
    x = 154,047,897.60/11,104.64
  6. Step 6: Final answer
    x = 13,872.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.