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Finding the Fourth Proportional to 11,784.56, 17,681.49 and 5,206.14

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Solution

The fourth proportional to 11,784.56, 17,681.49 and 5,206.14 is: 7,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.56 : 17,681.49 = 5,206.14 : x
  2. Step 2: Convert to fraction form
    11,784.56/17,681.49 = 5,206.14/x
  3. Step 3: Cross multiply
    11,784.56x = 17,681.49 × 5,206.14
  4. Step 4: Simplify right side
    11,784.56x = 92,052,312.35
  5. Step 5: Solve for x
    x = 92,052,312.35/11,784.56
  6. Step 6: Final answer
    x = 7,811.27

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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.