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Finding the Fourth Proportional to 11,533.96, 15,917.18 and 7,057.63

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Solution

The fourth proportional to 11,533.96, 15,917.18 and 7,057.63 is: 9,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.96 : 15,917.18 = 7,057.63 : x
  2. Step 2: Convert to fraction form
    11,533.96/15,917.18 = 7,057.63/x
  3. Step 3: Cross multiply
    11,533.96x = 15,917.18 × 7,057.63
  4. Step 4: Simplify right side
    11,533.96x = 112,337,452.21
  5. Step 5: Solve for x
    x = 112,337,452.21/11,533.96
  6. Step 6: Final answer
    x = 9,739.72

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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.