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Finding the Fourth Proportional to 8,532.97, 11,774.15 and 4,806.25

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Solution

The fourth proportional to 8,532.97, 11,774.15 and 4,806.25 is: 6,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.97 : 11,774.15 = 4,806.25 : x
  2. Step 2: Convert to fraction form
    8,532.97/11,774.15 = 4,806.25/x
  3. Step 3: Cross multiply
    8,532.97x = 11,774.15 × 4,806.25
  4. Step 4: Simplify right side
    8,532.97x = 56,589,484.41
  5. Step 5: Solve for x
    x = 56,589,484.41/8,532.97
  6. Step 6: Final answer
    x = 6,631.86

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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.