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Finding the Fourth Proportional to 10,005.30, 14,995.08 and 8,463.48

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Solution

The fourth proportional to 10,005.30, 14,995.08 and 8,463.48 is: 12,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.30 : 14,995.08 = 8,463.48 : x
  2. Step 2: Convert to fraction form
    10,005.30/14,995.08 = 8,463.48/x
  3. Step 3: Cross multiply
    10,005.30x = 14,995.08 × 8,463.48
  4. Step 4: Simplify right side
    10,005.30x = 126,910,559.68
  5. Step 5: Solve for x
    x = 126,910,559.68/10,005.30
  6. Step 6: Final answer
    x = 12,684.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.