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Finding the Fourth Proportional to 10,453.42, 14,425.83 and 5,737.60

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Solution

The fourth proportional to 10,453.42, 14,425.83 and 5,737.60 is: 7,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.42 : 14,425.83 = 5,737.60 : x
  2. Step 2: Convert to fraction form
    10,453.42/14,425.83 = 5,737.60/x
  3. Step 3: Cross multiply
    10,453.42x = 14,425.83 × 5,737.60
  4. Step 4: Simplify right side
    10,453.42x = 82,769,642.21
  5. Step 5: Solve for x
    x = 82,769,642.21/10,453.42
  6. Step 6: Final answer
    x = 7,917.95

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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.