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Finding the Fourth Proportional to 10,258.67, 15,420.11 and 6,771.08

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Solution

The fourth proportional to 10,258.67, 15,420.11 and 6,771.08 is: 10,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.67 : 15,420.11 = 6,771.08 : x
  2. Step 2: Convert to fraction form
    10,258.67/15,420.11 = 6,771.08/x
  3. Step 3: Cross multiply
    10,258.67x = 15,420.11 × 6,771.08
  4. Step 4: Simplify right side
    10,258.67x = 104,410,687.46
  5. Step 5: Solve for x
    x = 104,410,687.46/10,258.67
  6. Step 6: Final answer
    x = 10,177.80

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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.