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Finding the Fourth Proportional to 10,885.14, 16,314.75 and 7,580.34

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Solution

The fourth proportional to 10,885.14, 16,314.75 and 7,580.34 is: 11,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.14 : 16,314.75 = 7,580.34 : x
  2. Step 2: Convert to fraction form
    10,885.14/16,314.75 = 7,580.34/x
  3. Step 3: Cross multiply
    10,885.14x = 16,314.75 × 7,580.34
  4. Step 4: Simplify right side
    10,885.14x = 123,671,352.02
  5. Step 5: Solve for x
    x = 123,671,352.02/10,885.14
  6. Step 6: Final answer
    x = 11,361.48

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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.