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Finding the Fourth Proportional to 8,646.88, 11,929.62 and 5,664.37

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Solution

The fourth proportional to 8,646.88, 11,929.62 and 5,664.37 is: 7,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.88 : 11,929.62 = 5,664.37 : x
  2. Step 2: Convert to fraction form
    8,646.88/11,929.62 = 5,664.37/x
  3. Step 3: Cross multiply
    8,646.88x = 11,929.62 × 5,664.37
  4. Step 4: Simplify right side
    8,646.88x = 67,573,781.64
  5. Step 5: Solve for x
    x = 67,573,781.64/8,646.88
  6. Step 6: Final answer
    x = 7,814.82

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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.