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Finding the Fourth Proportional to 11,763.12, 16,213.32 and 7,564.08

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Solution

The fourth proportional to 11,763.12, 16,213.32 and 7,564.08 is: 10,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.12 : 16,213.32 = 7,564.08 : x
  2. Step 2: Convert to fraction form
    11,763.12/16,213.32 = 7,564.08/x
  3. Step 3: Cross multiply
    11,763.12x = 16,213.32 × 7,564.08
  4. Step 4: Simplify right side
    11,763.12x = 122,638,849.55
  5. Step 5: Solve for x
    x = 122,638,849.55/11,763.12
  6. Step 6: Final answer
    x = 10,425.71

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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.