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Finding the Fourth Proportional to 8,467.80, 11,681.52 and 5,636.48

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Solution

The fourth proportional to 8,467.80, 11,681.52 and 5,636.48 is: 7,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.80 : 11,681.52 = 5,636.48 : x
  2. Step 2: Convert to fraction form
    8,467.80/11,681.52 = 5,636.48/x
  3. Step 3: Cross multiply
    8,467.80x = 11,681.52 × 5,636.48
  4. Step 4: Simplify right side
    8,467.80x = 65,842,653.85
  5. Step 5: Solve for x
    x = 65,842,653.85/8,467.80
  6. Step 6: Final answer
    x = 7,775.65

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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.