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Finding the Fourth Proportional to 10,144.80, 14,000.52 and 5,897.20

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Solution

The fourth proportional to 10,144.80, 14,000.52 and 5,897.20 is: 8,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.80 : 14,000.52 = 5,897.20 : x
  2. Step 2: Convert to fraction form
    10,144.80/14,000.52 = 5,897.20/x
  3. Step 3: Cross multiply
    10,144.80x = 14,000.52 × 5,897.20
  4. Step 4: Simplify right side
    10,144.80x = 82,563,866.54
  5. Step 5: Solve for x
    x = 82,563,866.54/10,144.80
  6. Step 6: Final answer
    x = 8,138.54

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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.