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Finding the Fourth Proportional to 11,692.30, 17,541.51 and 5,119.78

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Solution

The fourth proportional to 11,692.30, 17,541.51 and 5,119.78 is: 7,681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.30 : 17,541.51 = 5,119.78 : x
  2. Step 2: Convert to fraction form
    11,692.30/17,541.51 = 5,119.78/x
  3. Step 3: Cross multiply
    11,692.30x = 17,541.51 × 5,119.78
  4. Step 4: Simplify right side
    11,692.30x = 89,808,672.07
  5. Step 5: Solve for x
    x = 89,808,672.07/11,692.30
  6. Step 6: Final answer
    x = 7,681.01

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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.