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Finding the Fourth Proportional to 11,602.88, 16,015.82 and 7,361

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Solution

The fourth proportional to 11,602.88, 16,015.82 and 7,361 is: 10,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.88 : 16,015.82 = 7,361 : x
  2. Step 2: Convert to fraction form
    11,602.88/16,015.82 = 7,361/x
  3. Step 3: Cross multiply
    11,602.88x = 16,015.82 × 7,361
  4. Step 4: Simplify right side
    11,602.88x = 117,892,451.02
  5. Step 5: Solve for x
    x = 117,892,451.02/11,602.88
  6. Step 6: Final answer
    x = 10,160.62

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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.