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Finding the Fourth Proportional to 10,511.71, 14,505.97 and 5,731.69

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Solution

The fourth proportional to 10,511.71, 14,505.97 and 5,731.69 is: 7,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.71 : 14,505.97 = 5,731.69 : x
  2. Step 2: Convert to fraction form
    10,511.71/14,505.97 = 5,731.69/x
  3. Step 3: Cross multiply
    10,511.71x = 14,505.97 × 5,731.69
  4. Step 4: Simplify right side
    10,511.71x = 83,143,683.34
  5. Step 5: Solve for x
    x = 83,143,683.34/10,511.71
  6. Step 6: Final answer
    x = 7,909.63

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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.