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Finding the Fourth Proportional to 27,186.46, 40,779.18 and 7,464.29

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Solution

The fourth proportional to 27,186.46, 40,779.18 and 7,464.29 is: 11,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186.46 : 40,779.18 = 7,464.29 : x
  2. Step 2: Convert to fraction form
    27,186.46/40,779.18 = 7,464.29/x
  3. Step 3: Cross multiply
    27,186.46x = 40,779.18 × 7,464.29
  4. Step 4: Simplify right side
    27,186.46x = 304,387,421.59
  5. Step 5: Solve for x
    x = 304,387,421.59/27,186.46
  6. Step 6: Final answer
    x = 11,196.29

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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.