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Finding the Fourth Proportional to 10,877.83, 16,291.96 and 6,486.22

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Solution

The fourth proportional to 10,877.83, 16,291.96 and 6,486.22 is: 9,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.83 : 16,291.96 = 6,486.22 : x
  2. Step 2: Convert to fraction form
    10,877.83/16,291.96 = 6,486.22/x
  3. Step 3: Cross multiply
    10,877.83x = 16,291.96 × 6,486.22
  4. Step 4: Simplify right side
    10,877.83x = 105,673,236.79
  5. Step 5: Solve for x
    x = 105,673,236.79/10,877.83
  6. Step 6: Final answer
    x = 9,714.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.