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Finding the Fourth Proportional to 11,258.31, 15,538.61 and 7,423.20

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Solution

The fourth proportional to 11,258.31, 15,538.61 and 7,423.20 is: 10,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,258.31 : 15,538.61 = 7,423.20 : x
  2. Step 2: Convert to fraction form
    11,258.31/15,538.61 = 7,423.20/x
  3. Step 3: Cross multiply
    11,258.31x = 15,538.61 × 7,423.20
  4. Step 4: Simplify right side
    11,258.31x = 115,346,200.47
  5. Step 5: Solve for x
    x = 115,346,200.47/11,258.31
  6. Step 6: Final answer
    x = 10,245.43

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