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Finding the Fourth Proportional to 8,646.36, 11,933.78 and 5,656.65

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Solution

The fourth proportional to 8,646.36, 11,933.78 and 5,656.65 is: 7,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.36 : 11,933.78 = 5,656.65 : x
  2. Step 2: Convert to fraction form
    8,646.36/11,933.78 = 5,656.65/x
  3. Step 3: Cross multiply
    8,646.36x = 11,933.78 × 5,656.65
  4. Step 4: Simplify right side
    8,646.36x = 67,505,188.35
  5. Step 5: Solve for x
    x = 67,505,188.35/8,646.36
  6. Step 6: Final answer
    x = 7,807.35

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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.