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Finding the Fourth Proportional to 10,361.17, 14,298.01 and 5,645.49

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Solution

The fourth proportional to 10,361.17, 14,298.01 and 5,645.49 is: 7,790.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.17 : 14,298.01 = 5,645.49 : x
  2. Step 2: Convert to fraction form
    10,361.17/14,298.01 = 5,645.49/x
  3. Step 3: Cross multiply
    10,361.17x = 14,298.01 × 5,645.49
  4. Step 4: Simplify right side
    10,361.17x = 80,719,272.47
  5. Step 5: Solve for x
    x = 80,719,272.47/10,361.17
  6. Step 6: Final answer
    x = 7,790.56

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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.