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Finding the Fourth Proportional to 11,047.52, 15,245.76 and 6,011.84

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Solution

The fourth proportional to 11,047.52, 15,245.76 and 6,011.84 is: 8,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.52 : 15,245.76 = 6,011.84 : x
  2. Step 2: Convert to fraction form
    11,047.52/15,245.76 = 6,011.84/x
  3. Step 3: Cross multiply
    11,047.52x = 15,245.76 × 6,011.84
  4. Step 4: Simplify right side
    11,047.52x = 91,655,069.80
  5. Step 5: Solve for x
    x = 91,655,069.80/11,047.52
  6. Step 6: Final answer
    x = 8,296.44

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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.