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Finding the Fourth Proportional to 8,437.80, 11,638.32 and 5,785.44

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Solution

The fourth proportional to 8,437.80, 11,638.32 and 5,785.44 is: 7,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.80 : 11,638.32 = 5,785.44 : x
  2. Step 2: Convert to fraction form
    8,437.80/11,638.32 = 5,785.44/x
  3. Step 3: Cross multiply
    8,437.80x = 11,638.32 × 5,785.44
  4. Step 4: Simplify right side
    8,437.80x = 67,332,802.06
  5. Step 5: Solve for x
    x = 67,332,802.06/8,437.80
  6. Step 6: Final answer
    x = 7,979.90

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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.