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Finding the Fourth Proportional to 10,390.77, 14,336.82 and 6,412.05

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Solution

The fourth proportional to 10,390.77, 14,336.82 and 6,412.05 is: 8,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.77 : 14,336.82 = 6,412.05 : x
  2. Step 2: Convert to fraction form
    10,390.77/14,336.82 = 6,412.05/x
  3. Step 3: Cross multiply
    10,390.77x = 14,336.82 × 6,412.05
  4. Step 4: Simplify right side
    10,390.77x = 91,928,406.68
  5. Step 5: Solve for x
    x = 91,928,406.68/10,390.77
  6. Step 6: Final answer
    x = 8,847.12

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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.