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Finding the Fourth Proportional to 11,427.76, 15,779.64 and 8,446.96

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Solution

The fourth proportional to 11,427.76, 15,779.64 and 8,446.96 is: 11,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.76 : 15,779.64 = 8,446.96 : x
  2. Step 2: Convert to fraction form
    11,427.76/15,779.64 = 8,446.96/x
  3. Step 3: Cross multiply
    11,427.76x = 15,779.64 × 8,446.96
  4. Step 4: Simplify right side
    11,427.76x = 133,289,987.89
  5. Step 5: Solve for x
    x = 133,289,987.89/11,427.76
  6. Step 6: Final answer
    x = 11,663.70

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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.