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Finding the Fourth Proportional to 8,564.12, 11,814.24 and 6,672.32

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Solution

The fourth proportional to 8,564.12, 11,814.24 and 6,672.32 is: 9,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.12 : 11,814.24 = 6,672.32 : x
  2. Step 2: Convert to fraction form
    8,564.12/11,814.24 = 6,672.32/x
  3. Step 3: Cross multiply
    8,564.12x = 11,814.24 × 6,672.32
  4. Step 4: Simplify right side
    8,564.12x = 78,828,389.84
  5. Step 5: Solve for x
    x = 78,828,389.84/8,564.12
  6. Step 6: Final answer
    x = 9,204.49

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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.