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Finding the Fourth Proportional to 12,526.76, 17,286.32 and 6,861.54

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Solution

The fourth proportional to 12,526.76, 17,286.32 and 6,861.54 is: 9,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.76 : 17,286.32 = 6,861.54 : x
  2. Step 2: Convert to fraction form
    12,526.76/17,286.32 = 6,861.54/x
  3. Step 3: Cross multiply
    12,526.76x = 17,286.32 × 6,861.54
  4. Step 4: Simplify right side
    12,526.76x = 118,610,787.88
  5. Step 5: Solve for x
    x = 118,610,787.88/12,526.76
  6. Step 6: Final answer
    x = 9,468.59

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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.