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Finding the Fourth Proportional to 12,390.56, 17,098.80 and 7,676

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Solution

The fourth proportional to 12,390.56, 17,098.80 and 7,676 is: 10,592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,390.56 : 17,098.80 = 7,676 : x
  2. Step 2: Convert to fraction form
    12,390.56/17,098.80 = 7,676/x
  3. Step 3: Cross multiply
    12,390.56x = 17,098.80 × 7,676
  4. Step 4: Simplify right side
    12,390.56x = 131,250,388.80
  5. Step 5: Solve for x
    x = 131,250,388.80/12,390.56
  6. Step 6: Final answer
    x = 10,592.77

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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.