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Finding the Fourth Proportional to 11,780.46, 16,256.77 and 6,402.77

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Solution

The fourth proportional to 11,780.46, 16,256.77 and 6,402.77 is: 8,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.46 : 16,256.77 = 6,402.77 : x
  2. Step 2: Convert to fraction form
    11,780.46/16,256.77 = 6,402.77/x
  3. Step 3: Cross multiply
    11,780.46x = 16,256.77 × 6,402.77
  4. Step 4: Simplify right side
    11,780.46x = 104,088,383.89
  5. Step 5: Solve for x
    x = 104,088,383.89/11,780.46
  6. Step 6: Final answer
    x = 8,835.68

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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.