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Finding the Fourth Proportional to 8,221.60, 11,345.80 and 4,444.75

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Solution

The fourth proportional to 8,221.60, 11,345.80 and 4,444.75 is: 6,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.60 : 11,345.80 = 4,444.75 : x
  2. Step 2: Convert to fraction form
    8,221.60/11,345.80 = 4,444.75/x
  3. Step 3: Cross multiply
    8,221.60x = 11,345.80 × 4,444.75
  4. Step 4: Simplify right side
    8,221.60x = 50,429,244.55
  5. Step 5: Solve for x
    x = 50,429,244.55/8,221.60
  6. Step 6: Final answer
    x = 6,133.75

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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.