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Finding the Fourth Proportional to 11,763.07, 16,233.03 and 6,457.77

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Solution

The fourth proportional to 11,763.07, 16,233.03 and 6,457.77 is: 8,911.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.07 : 16,233.03 = 6,457.77 : x
  2. Step 2: Convert to fraction form
    11,763.07/16,233.03 = 6,457.77/x
  3. Step 3: Cross multiply
    11,763.07x = 16,233.03 × 6,457.77
  4. Step 4: Simplify right side
    11,763.07x = 104,829,174.14
  5. Step 5: Solve for x
    x = 104,829,174.14/11,763.07
  6. Step 6: Final answer
    x = 8,911.72

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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.