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Finding the Fourth Proportional to 11,047.14, 16,570.62 and 5,200.56

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Solution

The fourth proportional to 11,047.14, 16,570.62 and 5,200.56 is: 7,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.14 : 16,570.62 = 5,200.56 : x
  2. Step 2: Convert to fraction form
    11,047.14/16,570.62 = 5,200.56/x
  3. Step 3: Cross multiply
    11,047.14x = 16,570.62 × 5,200.56
  4. Step 4: Simplify right side
    11,047.14x = 86,176,503.55
  5. Step 5: Solve for x
    x = 86,176,503.55/11,047.14
  6. Step 6: Final answer
    x = 7,800.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.