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Finding the Fourth Proportional to 10,910.76, 16,335.29 and 6,952.29

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Solution

The fourth proportional to 10,910.76, 16,335.29 and 6,952.29 is: 10,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.76 : 16,335.29 = 6,952.29 : x
  2. Step 2: Convert to fraction form
    10,910.76/16,335.29 = 6,952.29/x
  3. Step 3: Cross multiply
    10,910.76x = 16,335.29 × 6,952.29
  4. Step 4: Simplify right side
    10,910.76x = 113,567,638.55
  5. Step 5: Solve for x
    x = 113,567,638.55/10,910.76
  6. Step 6: Final answer
    x = 10,408.77

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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.