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Finding the Fourth Proportional to 11,226.84, 15,492.69 and 6,191.28

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Solution

The fourth proportional to 11,226.84, 15,492.69 and 6,191.28 is: 8,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226.84 : 15,492.69 = 6,191.28 : x
  2. Step 2: Convert to fraction form
    11,226.84/15,492.69 = 6,191.28/x
  3. Step 3: Cross multiply
    11,226.84x = 15,492.69 × 6,191.28
  4. Step 4: Simplify right side
    11,226.84x = 95,919,473.32
  5. Step 5: Solve for x
    x = 95,919,473.32/11,226.84
  6. Step 6: Final answer
    x = 8,543.76

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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.