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Finding the Fourth Proportional to 11,718.16, 17,573.76 and 6,380.52

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Solution

The fourth proportional to 11,718.16, 17,573.76 and 6,380.52 is: 9,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.16 : 17,573.76 = 6,380.52 : x
  2. Step 2: Convert to fraction form
    11,718.16/17,573.76 = 6,380.52/x
  3. Step 3: Cross multiply
    11,718.16x = 17,573.76 × 6,380.52
  4. Step 4: Simplify right side
    11,718.16x = 112,129,727.16
  5. Step 5: Solve for x
    x = 112,129,727.16/11,718.16
  6. Step 6: Final answer
    x = 9,568.89

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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.