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Finding the Fourth Proportional to 11,552.68, 15,941.86 and 6,771.88

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Solution

The fourth proportional to 11,552.68, 15,941.86 and 6,771.88 is: 9,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.68 : 15,941.86 = 6,771.88 : x
  2. Step 2: Convert to fraction form
    11,552.68/15,941.86 = 6,771.88/x
  3. Step 3: Cross multiply
    11,552.68x = 15,941.86 × 6,771.88
  4. Step 4: Simplify right side
    11,552.68x = 107,956,362.90
  5. Step 5: Solve for x
    x = 107,956,362.90/11,552.68
  6. Step 6: Final answer
    x = 9,344.70

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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.