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Finding the Fourth Proportional to 10,662.21, 14,713.74 and 5,882.13

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Solution

The fourth proportional to 10,662.21, 14,713.74 and 5,882.13 is: 8,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.21 : 14,713.74 = 5,882.13 : x
  2. Step 2: Convert to fraction form
    10,662.21/14,713.74 = 5,882.13/x
  3. Step 3: Cross multiply
    10,662.21x = 14,713.74 × 5,882.13
  4. Step 4: Simplify right side
    10,662.21x = 86,548,131.47
  5. Step 5: Solve for x
    x = 86,548,131.47/10,662.21
  6. Step 6: Final answer
    x = 8,117.28

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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.