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Finding the Fourth Proportional to 11,762.08, 16,231.62 and 6,457

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Solution

The fourth proportional to 11,762.08, 16,231.62 and 6,457 is: 8,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.08 : 16,231.62 = 6,457 : x
  2. Step 2: Convert to fraction form
    11,762.08/16,231.62 = 6,457/x
  3. Step 3: Cross multiply
    11,762.08x = 16,231.62 × 6,457
  4. Step 4: Simplify right side
    11,762.08x = 104,807,570.34
  5. Step 5: Solve for x
    x = 104,807,570.34/11,762.08
  6. Step 6: Final answer
    x = 8,910.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.