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Finding the Fourth Proportional to 10,609.44, 15,920.56 and 8,425.76

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Solution

The fourth proportional to 10,609.44, 15,920.56 and 8,425.76 is: 12,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.44 : 15,920.56 = 8,425.76 : x
  2. Step 2: Convert to fraction form
    10,609.44/15,920.56 = 8,425.76/x
  3. Step 3: Cross multiply
    10,609.44x = 15,920.56 × 8,425.76
  4. Step 4: Simplify right side
    10,609.44x = 134,142,817.63
  5. Step 5: Solve for x
    x = 134,142,817.63/10,609.44
  6. Step 6: Final answer
    x = 12,643.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.