Home / 11,742.08-16,204-6,774.08

Finding the Fourth Proportional to 11,742.08, 16,204 and 6,774.08

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Solution

The fourth proportional to 11,742.08, 16,204 and 6,774.08 is: 9,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.08 : 16,204 = 6,774.08 : x
  2. Step 2: Convert to fraction form
    11,742.08/16,204 = 6,774.08/x
  3. Step 3: Cross multiply
    11,742.08x = 16,204 × 6,774.08
  4. Step 4: Simplify right side
    11,742.08x = 109,767,192.32
  5. Step 5: Solve for x
    x = 109,767,192.32/11,742.08
  6. Step 6: Final answer
    x = 9,348.19

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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.