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Finding the Fourth Proportional to 10,824.50, 14,937.82 and 6,108.68

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Solution

The fourth proportional to 10,824.50, 14,937.82 and 6,108.68 is: 8,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.50 : 14,937.82 = 6,108.68 : x
  2. Step 2: Convert to fraction form
    10,824.50/14,937.82 = 6,108.68/x
  3. Step 3: Cross multiply
    10,824.50x = 14,937.82 × 6,108.68
  4. Step 4: Simplify right side
    10,824.50x = 91,250,362.28
  5. Step 5: Solve for x
    x = 91,250,362.28/10,824.50
  6. Step 6: Final answer
    x = 8,429.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.