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Finding the Fourth Proportional to 11,057.58, 15,256.71 and 7,022.88

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Solution

The fourth proportional to 11,057.58, 15,256.71 and 7,022.88 is: 9,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.58 : 15,256.71 = 7,022.88 : x
  2. Step 2: Convert to fraction form
    11,057.58/15,256.71 = 7,022.88/x
  3. Step 3: Cross multiply
    11,057.58x = 15,256.71 × 7,022.88
  4. Step 4: Simplify right side
    11,057.58x = 107,146,043.52
  5. Step 5: Solve for x
    x = 107,146,043.52/11,057.58
  6. Step 6: Final answer
    x = 9,689.83

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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.