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Finding the Fourth Proportional to 8,295.04, 11,449.44 and 5,646.88

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Solution

The fourth proportional to 8,295.04, 11,449.44 and 5,646.88 is: 7,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.04 : 11,449.44 = 5,646.88 : x
  2. Step 2: Convert to fraction form
    8,295.04/11,449.44 = 5,646.88/x
  3. Step 3: Cross multiply
    8,295.04x = 11,449.44 × 5,646.88
  4. Step 4: Simplify right side
    8,295.04x = 64,653,613.75
  5. Step 5: Solve for x
    x = 64,653,613.75/8,295.04
  6. Step 6: Final answer
    x = 7,794.25

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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.