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Finding the Fourth Proportional to 11,680.55, 17,523.14 and 4,285.08

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Solution

The fourth proportional to 11,680.55, 17,523.14 and 4,285.08 is: 6,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.55 : 17,523.14 = 4,285.08 : x
  2. Step 2: Convert to fraction form
    11,680.55/17,523.14 = 4,285.08/x
  3. Step 3: Cross multiply
    11,680.55x = 17,523.14 × 4,285.08
  4. Step 4: Simplify right side
    11,680.55x = 75,088,056.75
  5. Step 5: Solve for x
    x = 75,088,056.75/11,680.55
  6. Step 6: Final answer
    x = 6,428.47

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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.