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Finding the Fourth Proportional to 11,180.56, 15,420.72 and 7,397.08

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Solution

The fourth proportional to 11,180.56, 15,420.72 and 7,397.08 is: 10,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.56 : 15,420.72 = 7,397.08 : x
  2. Step 2: Convert to fraction form
    11,180.56/15,420.72 = 7,397.08/x
  3. Step 3: Cross multiply
    11,180.56x = 15,420.72 × 7,397.08
  4. Step 4: Simplify right side
    11,180.56x = 114,068,299.50
  5. Step 5: Solve for x
    x = 114,068,299.50/11,180.56
  6. Step 6: Final answer
    x = 10,202.38

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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.