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Finding the Fourth Proportional to 11,184.77, 15,434.93 and 6,149.30

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Solution

The fourth proportional to 11,184.77, 15,434.93 and 6,149.30 is: 8,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.77 : 15,434.93 = 6,149.30 : x
  2. Step 2: Convert to fraction form
    11,184.77/15,434.93 = 6,149.30/x
  3. Step 3: Cross multiply
    11,184.77x = 15,434.93 × 6,149.30
  4. Step 4: Simplify right side
    11,184.77x = 94,914,015.05
  5. Step 5: Solve for x
    x = 94,914,015.05/11,184.77
  6. Step 6: Final answer
    x = 8,486.01

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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.