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Finding the Fourth Proportional to 11,763.12, 16,232.82 and 6,457.92

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Solution

The fourth proportional to 11,763.12, 16,232.82 and 6,457.92 is: 8,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.12 : 16,232.82 = 6,457.92 : x
  2. Step 2: Convert to fraction form
    11,763.12/16,232.82 = 6,457.92/x
  3. Step 3: Cross multiply
    11,763.12x = 16,232.82 × 6,457.92
  4. Step 4: Simplify right side
    11,763.12x = 104,830,252.93
  5. Step 5: Solve for x
    x = 104,830,252.93/11,763.12
  6. Step 6: Final answer
    x = 8,911.77

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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.