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Finding the Fourth Proportional to 10,197.68, 14,073.76 and 5,948.41

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Solution

The fourth proportional to 10,197.68, 14,073.76 and 5,948.41 is: 8,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.68 : 14,073.76 = 5,948.41 : x
  2. Step 2: Convert to fraction form
    10,197.68/14,073.76 = 5,948.41/x
  3. Step 3: Cross multiply
    10,197.68x = 14,073.76 × 5,948.41
  4. Step 4: Simplify right side
    10,197.68x = 83,716,494.72
  5. Step 5: Solve for x
    x = 83,716,494.72/10,197.68
  6. Step 6: Final answer
    x = 8,209.37

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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.