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Finding the Fourth Proportional to 10,455.74, 14,424.21 and 6,206.98

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Solution

The fourth proportional to 10,455.74, 14,424.21 and 6,206.98 is: 8,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.74 : 14,424.21 = 6,206.98 : x
  2. Step 2: Convert to fraction form
    10,455.74/14,424.21 = 6,206.98/x
  3. Step 3: Cross multiply
    10,455.74x = 14,424.21 × 6,206.98
  4. Step 4: Simplify right side
    10,455.74x = 89,530,782.99
  5. Step 5: Solve for x
    x = 89,530,782.99/10,455.74
  6. Step 6: Final answer
    x = 8,562.84

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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.