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Finding the Fourth Proportional to 10,157.52, 14,017.47 and 5,620.14

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Solution

The fourth proportional to 10,157.52, 14,017.47 and 5,620.14 is: 7,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.52 : 14,017.47 = 5,620.14 : x
  2. Step 2: Convert to fraction form
    10,157.52/14,017.47 = 5,620.14/x
  3. Step 3: Cross multiply
    10,157.52x = 14,017.47 × 5,620.14
  4. Step 4: Simplify right side
    10,157.52x = 78,780,143.85
  5. Step 5: Solve for x
    x = 78,780,143.85/10,157.52
  6. Step 6: Final answer
    x = 7,755.84

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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.