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Finding the Fourth Proportional to 10,421.70, 14,381.94 and 5,705.97

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Solution

The fourth proportional to 10,421.70, 14,381.94 and 5,705.97 is: 7,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.70 : 14,381.94 = 5,705.97 : x
  2. Step 2: Convert to fraction form
    10,421.70/14,381.94 = 5,705.97/x
  3. Step 3: Cross multiply
    10,421.70x = 14,381.94 × 5,705.97
  4. Step 4: Simplify right side
    10,421.70x = 82,062,918.18
  5. Step 5: Solve for x
    x = 82,062,918.18/10,421.70
  6. Step 6: Final answer
    x = 7,874.24

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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.