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Finding the Fourth Proportional to 11,779.68, 17,662.32 and 5,541.06

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Solution

The fourth proportional to 11,779.68, 17,662.32 and 5,541.06 is: 8,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.68 : 17,662.32 = 5,541.06 : x
  2. Step 2: Convert to fraction form
    11,779.68/17,662.32 = 5,541.06/x
  3. Step 3: Cross multiply
    11,779.68x = 17,662.32 × 5,541.06
  4. Step 4: Simplify right side
    11,779.68x = 97,867,974.86
  5. Step 5: Solve for x
    x = 97,867,974.86/11,779.68
  6. Step 6: Final answer
    x = 8,308.20

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Why These Related Problems?

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