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Finding the Fourth Proportional to 10,832.88, 16,255.20 and 4,596.40

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Solution

The fourth proportional to 10,832.88, 16,255.20 and 4,596.40 is: 6,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.88 : 16,255.20 = 4,596.40 : x
  2. Step 2: Convert to fraction form
    10,832.88/16,255.20 = 4,596.40/x
  3. Step 3: Cross multiply
    10,832.88x = 16,255.20 × 4,596.40
  4. Step 4: Simplify right side
    10,832.88x = 74,715,401.28
  5. Step 5: Solve for x
    x = 74,715,401.28/10,832.88
  6. Step 6: Final answer
    x = 6,897.09

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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.