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Finding the Fourth Proportional to 10,709.87, 14,777.25 and 6,729.53

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Solution

The fourth proportional to 10,709.87, 14,777.25 and 6,729.53 is: 9,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.87 : 14,777.25 = 6,729.53 : x
  2. Step 2: Convert to fraction form
    10,709.87/14,777.25 = 6,729.53/x
  3. Step 3: Cross multiply
    10,709.87x = 14,777.25 × 6,729.53
  4. Step 4: Simplify right side
    10,709.87x = 99,443,947.19
  5. Step 5: Solve for x
    x = 99,443,947.19/10,709.87
  6. Step 6: Final answer
    x = 9,285.26

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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.