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Finding the Fourth Proportional to 10,573.88, 15,855.85 and 6,132.81

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Solution

The fourth proportional to 10,573.88, 15,855.85 and 6,132.81 is: 9,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.88 : 15,855.85 = 6,132.81 : x
  2. Step 2: Convert to fraction form
    10,573.88/15,855.85 = 6,132.81/x
  3. Step 3: Cross multiply
    10,573.88x = 15,855.85 × 6,132.81
  4. Step 4: Simplify right side
    10,573.88x = 97,240,915.44
  5. Step 5: Solve for x
    x = 97,240,915.44/10,573.88
  6. Step 6: Final answer
    x = 9,196.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.