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Finding the Fourth Proportional to 10,407.74, 14,363.69 and 5,692.73

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Solution

The fourth proportional to 10,407.74, 14,363.69 and 5,692.73 is: 7,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.74 : 14,363.69 = 5,692.73 : x
  2. Step 2: Convert to fraction form
    10,407.74/14,363.69 = 5,692.73/x
  3. Step 3: Cross multiply
    10,407.74x = 14,363.69 × 5,692.73
  4. Step 4: Simplify right side
    10,407.74x = 81,768,508.69
  5. Step 5: Solve for x
    x = 81,768,508.69/10,407.74
  6. Step 6: Final answer
    x = 7,856.51

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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.