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Finding the Fourth Proportional to 11,256.31, 15,524.26 and 8,430.31

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Solution

The fourth proportional to 11,256.31, 15,524.26 and 8,430.31 is: 11,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.31 : 15,524.26 = 8,430.31 : x
  2. Step 2: Convert to fraction form
    11,256.31/15,524.26 = 8,430.31/x
  3. Step 3: Cross multiply
    11,256.31x = 15,524.26 × 8,430.31
  4. Step 4: Simplify right side
    11,256.31x = 130,874,324.32
  5. Step 5: Solve for x
    x = 130,874,324.32/11,256.31
  6. Step 6: Final answer
    x = 11,626.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.