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Finding the Fourth Proportional to 10,731.29, 16,100.98 and 4,495.50

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Solution

The fourth proportional to 10,731.29, 16,100.98 and 4,495.50 is: 6,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.29 : 16,100.98 = 4,495.50 : x
  2. Step 2: Convert to fraction form
    10,731.29/16,100.98 = 4,495.50/x
  3. Step 3: Cross multiply
    10,731.29x = 16,100.98 × 4,495.50
  4. Step 4: Simplify right side
    10,731.29x = 72,381,944.35
  5. Step 5: Solve for x
    x = 72,381,944.35/10,731.29
  6. Step 6: Final answer
    x = 6,744.95

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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.