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Finding the Fourth Proportional to 10,260.42, 15,376.05 and 7,493.46

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Solution

The fourth proportional to 10,260.42, 15,376.05 and 7,493.46 is: 11,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.42 : 15,376.05 = 7,493.46 : x
  2. Step 2: Convert to fraction form
    10,260.42/15,376.05 = 7,493.46/x
  3. Step 3: Cross multiply
    10,260.42x = 15,376.05 × 7,493.46
  4. Step 4: Simplify right side
    10,260.42x = 115,219,815.63
  5. Step 5: Solve for x
    x = 115,219,815.63/10,260.42
  6. Step 6: Final answer
    x = 11,229.54

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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.