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Finding the Fourth Proportional to 11,533.56, 17,306.76 and 8,777.40

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Solution

The fourth proportional to 11,533.56, 17,306.76 and 8,777.40 is: 13,170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.56 : 17,306.76 = 8,777.40 : x
  2. Step 2: Convert to fraction form
    11,533.56/17,306.76 = 8,777.40/x
  3. Step 3: Cross multiply
    11,533.56x = 17,306.76 × 8,777.40
  4. Step 4: Simplify right side
    11,533.56x = 151,908,355.22
  5. Step 5: Solve for x
    x = 151,908,355.22/11,533.56
  6. Step 6: Final answer
    x = 13,170.99

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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.