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Finding the Fourth Proportional to 10,406.98, 14,361.54 and 5,691.28

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Solution

The fourth proportional to 10,406.98, 14,361.54 and 5,691.28 is: 7,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.98 : 14,361.54 = 5,691.28 : x
  2. Step 2: Convert to fraction form
    10,406.98/14,361.54 = 5,691.28/x
  3. Step 3: Cross multiply
    10,406.98x = 14,361.54 × 5,691.28
  4. Step 4: Simplify right side
    10,406.98x = 81,735,545.37
  5. Step 5: Solve for x
    x = 81,735,545.37/10,406.98
  6. Step 6: Final answer
    x = 7,853.92

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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.