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Finding the Fourth Proportional to 10,415.80, 14,358.85 and 7,426.44

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Solution

The fourth proportional to 10,415.80, 14,358.85 and 7,426.44 is: 10,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.80 : 14,358.85 = 7,426.44 : x
  2. Step 2: Convert to fraction form
    10,415.80/14,358.85 = 7,426.44/x
  3. Step 3: Cross multiply
    10,415.80x = 14,358.85 × 7,426.44
  4. Step 4: Simplify right side
    10,415.80x = 106,635,137.99
  5. Step 5: Solve for x
    x = 106,635,137.99/10,415.80
  6. Step 6: Final answer
    x = 10,237.83

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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.