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Finding the Fourth Proportional to 10,256, 15,386.52 and 3,330.56

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Solution

The fourth proportional to 10,256, 15,386.52 and 3,330.56 is: 4,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256 : 15,386.52 = 3,330.56 : x
  2. Step 2: Convert to fraction form
    10,256/15,386.52 = 3,330.56/x
  3. Step 3: Cross multiply
    10,256x = 15,386.52 × 3,330.56
  4. Step 4: Simplify right side
    10,256x = 51,245,728.05
  5. Step 5: Solve for x
    x = 51,245,728.05/10,256
  6. Step 6: Final answer
    x = 4,996.66

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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.