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Finding the Fourth Proportional to 11,775.65, 17,642.72 and 6,216.75

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Solution

The fourth proportional to 11,775.65, 17,642.72 and 6,216.75 is: 9,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.65 : 17,642.72 = 6,216.75 : x
  2. Step 2: Convert to fraction form
    11,775.65/17,642.72 = 6,216.75/x
  3. Step 3: Cross multiply
    11,775.65x = 17,642.72 × 6,216.75
  4. Step 4: Simplify right side
    11,775.65x = 109,680,348.48
  5. Step 5: Solve for x
    x = 109,680,348.48/11,775.65
  6. Step 6: Final answer
    x = 9,314.17

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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.