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Finding the Fourth Proportional to 11,543.88, 15,920.10 and 7,563.54

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Solution

The fourth proportional to 11,543.88, 15,920.10 and 7,563.54 is: 10,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.88 : 15,920.10 = 7,563.54 : x
  2. Step 2: Convert to fraction form
    11,543.88/15,920.10 = 7,563.54/x
  3. Step 3: Cross multiply
    11,543.88x = 15,920.10 × 7,563.54
  4. Step 4: Simplify right side
    11,543.88x = 120,412,313.15
  5. Step 5: Solve for x
    x = 120,412,313.15/11,543.88
  6. Step 6: Final answer
    x = 10,430.84

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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.