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Finding the Fourth Proportional to 10,397.73, 14,348.90 and 5,682.01

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Solution

The fourth proportional to 10,397.73, 14,348.90 and 5,682.01 is: 7,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.73 : 14,348.90 = 5,682.01 : x
  2. Step 2: Convert to fraction form
    10,397.73/14,348.90 = 5,682.01/x
  3. Step 3: Cross multiply
    10,397.73x = 14,348.90 × 5,682.01
  4. Step 4: Simplify right side
    10,397.73x = 81,530,607.49
  5. Step 5: Solve for x
    x = 81,530,607.49/10,397.73
  6. Step 6: Final answer
    x = 7,841.19

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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.