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Finding the Fourth Proportional to 11,780.22, 16,256.81 and 6,402.71

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Solution

The fourth proportional to 11,780.22, 16,256.81 and 6,402.71 is: 8,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.22 : 16,256.81 = 6,402.71 : x
  2. Step 2: Convert to fraction form
    11,780.22/16,256.81 = 6,402.71/x
  3. Step 3: Cross multiply
    11,780.22x = 16,256.81 × 6,402.71
  4. Step 4: Simplify right side
    11,780.22x = 104,087,637.02
  5. Step 5: Solve for x
    x = 104,087,637.02/11,780.22
  6. Step 6: Final answer
    x = 8,835.80

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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.