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Finding the Fourth Proportional to 11,011.56, 15,197.76 and 7,034.64

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Solution

The fourth proportional to 11,011.56, 15,197.76 and 7,034.64 is: 9,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,011.56 : 15,197.76 = 7,034.64 : x
  2. Step 2: Convert to fraction form
    11,011.56/15,197.76 = 7,034.64/x
  3. Step 3: Cross multiply
    11,011.56x = 15,197.76 × 7,034.64
  4. Step 4: Simplify right side
    11,011.56x = 106,910,770.41
  5. Step 5: Solve for x
    x = 106,910,770.41/11,011.56
  6. Step 6: Final answer
    x = 9,708.96

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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.