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Finding the Fourth Proportional to 11,588.87, 17,376.70 and 7,642.25

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Solution

The fourth proportional to 11,588.87, 17,376.70 and 7,642.25 is: 11,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.87 : 17,376.70 = 7,642.25 : x
  2. Step 2: Convert to fraction form
    11,588.87/17,376.70 = 7,642.25/x
  3. Step 3: Cross multiply
    11,588.87x = 17,376.70 × 7,642.25
  4. Step 4: Simplify right side
    11,588.87x = 132,797,080.57
  5. Step 5: Solve for x
    x = 132,797,080.57/11,588.87
  6. Step 6: Final answer
    x = 11,459.02

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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.