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Finding the Fourth Proportional to 11,762.72, 16,232.10 and 6,457.40

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Solution

The fourth proportional to 11,762.72, 16,232.10 and 6,457.40 is: 8,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.72 : 16,232.10 = 6,457.40 : x
  2. Step 2: Convert to fraction form
    11,762.72/16,232.10 = 6,457.40/x
  3. Step 3: Cross multiply
    11,762.72x = 16,232.10 × 6,457.40
  4. Step 4: Simplify right side
    11,762.72x = 104,817,162.54
  5. Step 5: Solve for x
    x = 104,817,162.54/11,762.72
  6. Step 6: Final answer
    x = 8,910.96

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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.