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Finding the Fourth Proportional to 10,172.40, 15,244 and 5,780.56

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Solution

The fourth proportional to 10,172.40, 15,244 and 5,780.56 is: 8,662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.40 : 15,244 = 5,780.56 : x
  2. Step 2: Convert to fraction form
    10,172.40/15,244 = 5,780.56/x
  3. Step 3: Cross multiply
    10,172.40x = 15,244 × 5,780.56
  4. Step 4: Simplify right side
    10,172.40x = 88,118,856.64
  5. Step 5: Solve for x
    x = 88,118,856.64/10,172.40
  6. Step 6: Final answer
    x = 8,662.54

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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.