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Finding the Fourth Proportional to 11,481.56, 15,844.56 and 6,445.78

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Solution

The fourth proportional to 11,481.56, 15,844.56 and 6,445.78 is: 8,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.56 : 15,844.56 = 6,445.78 : x
  2. Step 2: Convert to fraction form
    11,481.56/15,844.56 = 6,445.78/x
  3. Step 3: Cross multiply
    11,481.56x = 15,844.56 × 6,445.78
  4. Step 4: Simplify right side
    11,481.56x = 102,130,547.96
  5. Step 5: Solve for x
    x = 102,130,547.96/11,481.56
  6. Step 6: Final answer
    x = 8,895.18

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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.