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Finding the Fourth Proportional to 11,447.92, 15,783.01 and 8,258.55

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Solution

The fourth proportional to 11,447.92, 15,783.01 and 8,258.55 is: 11,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.92 : 15,783.01 = 8,258.55 : x
  2. Step 2: Convert to fraction form
    11,447.92/15,783.01 = 8,258.55/x
  3. Step 3: Cross multiply
    11,447.92x = 15,783.01 × 8,258.55
  4. Step 4: Simplify right side
    11,447.92x = 130,344,777.24
  5. Step 5: Solve for x
    x = 130,344,777.24/11,447.92
  6. Step 6: Final answer
    x = 11,385.89

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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.