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Finding the Fourth Proportional to 10,786.48, 14,882.64 and 8,271.16

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Solution

The fourth proportional to 10,786.48, 14,882.64 and 8,271.16 is: 11,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.48 : 14,882.64 = 8,271.16 : x
  2. Step 2: Convert to fraction form
    10,786.48/14,882.64 = 8,271.16/x
  3. Step 3: Cross multiply
    10,786.48x = 14,882.64 × 8,271.16
  4. Step 4: Simplify right side
    10,786.48x = 123,096,696.66
  5. Step 5: Solve for x
    x = 123,096,696.66/10,786.48
  6. Step 6: Final answer
    x = 11,412.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.