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Finding the Fourth Proportional to 8,432.30, 11,636.16 and 4,894.94

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Solution

The fourth proportional to 8,432.30, 11,636.16 and 4,894.94 is: 6,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.30 : 11,636.16 = 4,894.94 : x
  2. Step 2: Convert to fraction form
    8,432.30/11,636.16 = 4,894.94/x
  3. Step 3: Cross multiply
    8,432.30x = 11,636.16 × 4,894.94
  4. Step 4: Simplify right side
    8,432.30x = 56,958,305.03
  5. Step 5: Solve for x
    x = 56,958,305.03/8,432.30
  6. Step 6: Final answer
    x = 6,754.78

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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.