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Finding the Fourth Proportional to 11,779.13, 16,254.23 and 6,742.20

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Solution

The fourth proportional to 11,779.13, 16,254.23 and 6,742.20 is: 9,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.13 : 16,254.23 = 6,742.20 : x
  2. Step 2: Convert to fraction form
    11,779.13/16,254.23 = 6,742.20/x
  3. Step 3: Cross multiply
    11,779.13x = 16,254.23 × 6,742.20
  4. Step 4: Simplify right side
    11,779.13x = 109,589,269.51
  5. Step 5: Solve for x
    x = 109,589,269.51/11,779.13
  6. Step 6: Final answer
    x = 9,303.68

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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.