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Finding the Fourth Proportional to 10,371.21, 14,308.92 and 6,123.71

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Solution

The fourth proportional to 10,371.21, 14,308.92 and 6,123.71 is: 8,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.21 : 14,308.92 = 6,123.71 : x
  2. Step 2: Convert to fraction form
    10,371.21/14,308.92 = 6,123.71/x
  3. Step 3: Cross multiply
    10,371.21x = 14,308.92 × 6,123.71
  4. Step 4: Simplify right side
    10,371.21x = 87,623,604.95
  5. Step 5: Solve for x
    x = 87,623,604.95/10,371.21
  6. Step 6: Final answer
    x = 8,448.74

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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.