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Finding the Fourth Proportional to 10,173.70, 15,258.49 and 2,777.54

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Solution

The fourth proportional to 10,173.70, 15,258.49 and 2,777.54 is: 4,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.70 : 15,258.49 = 2,777.54 : x
  2. Step 2: Convert to fraction form
    10,173.70/15,258.49 = 2,777.54/x
  3. Step 3: Cross multiply
    10,173.70x = 15,258.49 × 2,777.54
  4. Step 4: Simplify right side
    10,173.70x = 42,381,084.53
  5. Step 5: Solve for x
    x = 42,381,084.53/10,173.70
  6. Step 6: Final answer
    x = 4,165.75

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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.