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Finding the Fourth Proportional to 11,666.40, 17,486.16 and 5,827.20

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Solution

The fourth proportional to 11,666.40, 17,486.16 and 5,827.20 is: 8,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.40 : 17,486.16 = 5,827.20 : x
  2. Step 2: Convert to fraction form
    11,666.40/17,486.16 = 5,827.20/x
  3. Step 3: Cross multiply
    11,666.40x = 17,486.16 × 5,827.20
  4. Step 4: Simplify right side
    11,666.40x = 101,895,351.55
  5. Step 5: Solve for x
    x = 101,895,351.55/11,666.40
  6. Step 6: Final answer
    x = 8,734.09

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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.