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Finding the Fourth Proportional to 11,563.93, 15,944.92 and 8,543.43

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Solution

The fourth proportional to 11,563.93, 15,944.92 and 8,543.43 is: 11,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.93 : 15,944.92 = 8,543.43 : x
  2. Step 2: Convert to fraction form
    11,563.93/15,944.92 = 8,543.43/x
  3. Step 3: Cross multiply
    11,563.93x = 15,944.92 × 8,543.43
  4. Step 4: Simplify right side
    11,563.93x = 136,224,307.88
  5. Step 5: Solve for x
    x = 136,224,307.88/11,563.93
  6. Step 6: Final answer
    x = 11,780.10

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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.