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Finding the Fourth Proportional to 10,258.90, 15,388.34 and 5,873.31

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Solution

The fourth proportional to 10,258.90, 15,388.34 and 5,873.31 is: 8,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.90 : 15,388.34 = 5,873.31 : x
  2. Step 2: Convert to fraction form
    10,258.90/15,388.34 = 5,873.31/x
  3. Step 3: Cross multiply
    10,258.90x = 15,388.34 × 5,873.31
  4. Step 4: Simplify right side
    10,258.90x = 90,380,461.84
  5. Step 5: Solve for x
    x = 90,380,461.84/10,258.90
  6. Step 6: Final answer
    x = 8,809.96

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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.