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Finding the Fourth Proportional to 10,756.53, 14,843.90 and 5,911.34

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Solution

The fourth proportional to 10,756.53, 14,843.90 and 5,911.34 is: 8,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.53 : 14,843.90 = 5,911.34 : x
  2. Step 2: Convert to fraction form
    10,756.53/14,843.90 = 5,911.34/x
  3. Step 3: Cross multiply
    10,756.53x = 14,843.90 × 5,911.34
  4. Step 4: Simplify right side
    10,756.53x = 87,747,263.76
  5. Step 5: Solve for x
    x = 87,747,263.76/10,756.53
  6. Step 6: Final answer
    x = 8,157.58

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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.