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Finding the Fourth Proportional to 10,258.89, 15,383.21 and 5,327.16

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Solution

The fourth proportional to 10,258.89, 15,383.21 and 5,327.16 is: 7,988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.89 : 15,383.21 = 5,327.16 : x
  2. Step 2: Convert to fraction form
    10,258.89/15,383.21 = 5,327.16/x
  3. Step 3: Cross multiply
    10,258.89x = 15,383.21 × 5,327.16
  4. Step 4: Simplify right side
    10,258.89x = 81,948,794.35
  5. Step 5: Solve for x
    x = 81,948,794.35/10,258.89
  6. Step 6: Final answer
    x = 7,988.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.