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Finding the Fourth Proportional to 10,588.49, 15,882.76 and 3,195.07

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Solution

The fourth proportional to 10,588.49, 15,882.76 and 3,195.07 is: 4,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.49 : 15,882.76 = 3,195.07 : x
  2. Step 2: Convert to fraction form
    10,588.49/15,882.76 = 3,195.07/x
  3. Step 3: Cross multiply
    10,588.49x = 15,882.76 × 3,195.07
  4. Step 4: Simplify right side
    10,588.49x = 50,746,529.99
  5. Step 5: Solve for x
    x = 50,746,529.99/10,588.49
  6. Step 6: Final answer
    x = 4,792.61

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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.