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Finding the Fourth Proportional to 7,633.53, 10,532.31 and 4,489.13

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Solution

The fourth proportional to 7,633.53, 10,532.31 and 4,489.13 is: 6,193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.53 : 10,532.31 = 4,489.13 : x
  2. Step 2: Convert to fraction form
    7,633.53/10,532.31 = 4,489.13/x
  3. Step 3: Cross multiply
    7,633.53x = 10,532.31 × 4,489.13
  4. Step 4: Simplify right side
    7,633.53x = 47,280,886.34
  5. Step 5: Solve for x
    x = 47,280,886.34/7,633.53
  6. Step 6: Final answer
    x = 6,193.84

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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.