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Finding the Fourth Proportional to 11,057.35, 16,577.38 and 7,538.63

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Solution

The fourth proportional to 11,057.35, 16,577.38 and 7,538.63 is: 11,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.35 : 16,577.38 = 7,538.63 : x
  2. Step 2: Convert to fraction form
    11,057.35/16,577.38 = 7,538.63/x
  3. Step 3: Cross multiply
    11,057.35x = 16,577.38 × 7,538.63
  4. Step 4: Simplify right side
    11,057.35x = 124,970,734.19
  5. Step 5: Solve for x
    x = 124,970,734.19/11,057.35
  6. Step 6: Final answer
    x = 11,302.05

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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.