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Finding the Fourth Proportional to 10,154.44, 14,011.74 and 5,677.96

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Solution

The fourth proportional to 10,154.44, 14,011.74 and 5,677.96 is: 7,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.44 : 14,011.74 = 5,677.96 : x
  2. Step 2: Convert to fraction form
    10,154.44/14,011.74 = 5,677.96/x
  3. Step 3: Cross multiply
    10,154.44x = 14,011.74 × 5,677.96
  4. Step 4: Simplify right side
    10,154.44x = 79,558,099.25
  5. Step 5: Solve for x
    x = 79,558,099.25/10,154.44
  6. Step 6: Final answer
    x = 7,834.81

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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.