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Finding the Fourth Proportional to 11,851.44, 17,779.08 and 6,005.68

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Solution

The fourth proportional to 11,851.44, 17,779.08 and 6,005.68 is: 9,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.44 : 17,779.08 = 6,005.68 : x
  2. Step 2: Convert to fraction form
    11,851.44/17,779.08 = 6,005.68/x
  3. Step 3: Cross multiply
    11,851.44x = 17,779.08 × 6,005.68
  4. Step 4: Simplify right side
    11,851.44x = 106,775,465.17
  5. Step 5: Solve for x
    x = 106,775,465.17/11,851.44
  6. Step 6: Final answer
    x = 9,009.49

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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.