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Finding the Fourth Proportional to 10,748.33, 14,833.49 and 6,499.55

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Solution

The fourth proportional to 10,748.33, 14,833.49 and 6,499.55 is: 8,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748.33 : 14,833.49 = 6,499.55 : x
  2. Step 2: Convert to fraction form
    10,748.33/14,833.49 = 6,499.55/x
  3. Step 3: Cross multiply
    10,748.33x = 14,833.49 × 6,499.55
  4. Step 4: Simplify right side
    10,748.33x = 96,410,952.01
  5. Step 5: Solve for x
    x = 96,410,952.01/10,748.33
  6. Step 6: Final answer
    x = 8,969.86

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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.