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Finding the Fourth Proportional to 10,786.77, 14,882.13 and 7,014.60

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Solution

The fourth proportional to 10,786.77, 14,882.13 and 7,014.60 is: 9,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.77 : 14,882.13 = 7,014.60 : x
  2. Step 2: Convert to fraction form
    10,786.77/14,882.13 = 7,014.60/x
  3. Step 3: Cross multiply
    10,786.77x = 14,882.13 × 7,014.60
  4. Step 4: Simplify right side
    10,786.77x = 104,392,189.10
  5. Step 5: Solve for x
    x = 104,392,189.10/10,786.77
  6. Step 6: Final answer
    x = 9,677.80

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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.