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Finding the Fourth Proportional to 11,022.86, 16,535.46 and 4,448

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Solution

The fourth proportional to 11,022.86, 16,535.46 and 4,448 is: 6,672.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.86 : 16,535.46 = 4,448 : x
  2. Step 2: Convert to fraction form
    11,022.86/16,535.46 = 4,448/x
  3. Step 3: Cross multiply
    11,022.86x = 16,535.46 × 4,448
  4. Step 4: Simplify right side
    11,022.86x = 73,549,726.08
  5. Step 5: Solve for x
    x = 73,549,726.08/11,022.86
  6. Step 6: Final answer
    x = 6,672.47

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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.