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Finding the Fourth Proportional to 10,970.82, 16,427.04 and 8,575.02

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Solution

The fourth proportional to 10,970.82, 16,427.04 and 8,575.02 is: 12,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.82 : 16,427.04 = 8,575.02 : x
  2. Step 2: Convert to fraction form
    10,970.82/16,427.04 = 8,575.02/x
  3. Step 3: Cross multiply
    10,970.82x = 16,427.04 × 8,575.02
  4. Step 4: Simplify right side
    10,970.82x = 140,862,196.54
  5. Step 5: Solve for x
    x = 140,862,196.54/10,970.82
  6. Step 6: Final answer
    x = 12,839.71

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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.