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Finding the Fourth Proportional to 10,786.56, 14,868.54 and 9,882.60

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Solution

The fourth proportional to 10,786.56, 14,868.54 and 9,882.60 is: 13,622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.56 : 14,868.54 = 9,882.60 : x
  2. Step 2: Convert to fraction form
    10,786.56/14,868.54 = 9,882.60/x
  3. Step 3: Cross multiply
    10,786.56x = 14,868.54 × 9,882.60
  4. Step 4: Simplify right side
    10,786.56x = 146,939,833.40
  5. Step 5: Solve for x
    x = 146,939,833.40/10,786.56
  6. Step 6: Final answer
    x = 13,622.49

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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.