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Finding the Fourth Proportional to 11,022.52, 16,526.54 and 6,278.84

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Solution

The fourth proportional to 11,022.52, 16,526.54 and 6,278.84 is: 9,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.52 : 16,526.54 = 6,278.84 : x
  2. Step 2: Convert to fraction form
    11,022.52/16,526.54 = 6,278.84/x
  3. Step 3: Cross multiply
    11,022.52x = 16,526.54 × 6,278.84
  4. Step 4: Simplify right side
    11,022.52x = 103,767,500.41
  5. Step 5: Solve for x
    x = 103,767,500.41/11,022.52
  6. Step 6: Final answer
    x = 9,414.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.