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Finding the Fourth Proportional to 11,272.80, 15,547.02 and 8,446.81

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Solution

The fourth proportional to 11,272.80, 15,547.02 and 8,446.81 is: 11,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272.80 : 15,547.02 = 8,446.81 : x
  2. Step 2: Convert to fraction form
    11,272.80/15,547.02 = 8,446.81/x
  3. Step 3: Cross multiply
    11,272.80x = 15,547.02 × 8,446.81
  4. Step 4: Simplify right side
    11,272.80x = 131,322,724.01
  5. Step 5: Solve for x
    x = 131,322,724.01/11,272.80
  6. Step 6: Final answer
    x = 11,649.52

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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.