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Finding the Fourth Proportional to 10,926.41, 16,402.62 and 10,480.82

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Solution

The fourth proportional to 10,926.41, 16,402.62 and 10,480.82 is: 15,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,926.41 : 16,402.62 = 10,480.82 : x
  2. Step 2: Convert to fraction form
    10,926.41/16,402.62 = 10,480.82/x
  3. Step 3: Cross multiply
    10,926.41x = 16,402.62 × 10,480.82
  4. Step 4: Simplify right side
    10,926.41x = 171,912,907.75
  5. Step 5: Solve for x
    x = 171,912,907.75/10,926.41
  6. Step 6: Final answer
    x = 15,733.70

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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.