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Finding the Fourth Proportional to 10,865.21, 16,308.74 and 7,934.63

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Solution

The fourth proportional to 10,865.21, 16,308.74 and 7,934.63 is: 11,909.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.21 : 16,308.74 = 7,934.63 : x
  2. Step 2: Convert to fraction form
    10,865.21/16,308.74 = 7,934.63/x
  3. Step 3: Cross multiply
    10,865.21x = 16,308.74 × 7,934.63
  4. Step 4: Simplify right side
    10,865.21x = 129,403,755.96
  5. Step 5: Solve for x
    x = 129,403,755.96/10,865.21
  6. Step 6: Final answer
    x = 11,909.92

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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.