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Finding the Fourth Proportional to 8,432.67, 11,636.96 and 4,655.97

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Solution

The fourth proportional to 8,432.67, 11,636.96 and 4,655.97 is: 6,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.67 : 11,636.96 = 4,655.97 : x
  2. Step 2: Convert to fraction form
    8,432.67/11,636.96 = 4,655.97/x
  3. Step 3: Cross multiply
    8,432.67x = 11,636.96 × 4,655.97
  4. Step 4: Simplify right side
    8,432.67x = 54,181,313.37
  5. Step 5: Solve for x
    x = 54,181,313.37/8,432.67
  6. Step 6: Final answer
    x = 6,425.17

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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.