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Finding the Fourth Proportional to 7,600.14, 10,486.80 and 4,616.28

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Solution

The fourth proportional to 7,600.14, 10,486.80 and 4,616.28 is: 6,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.14 : 10,486.80 = 4,616.28 : x
  2. Step 2: Convert to fraction form
    7,600.14/10,486.80 = 4,616.28/x
  3. Step 3: Cross multiply
    7,600.14x = 10,486.80 × 4,616.28
  4. Step 4: Simplify right side
    7,600.14x = 48,410,005.10
  5. Step 5: Solve for x
    x = 48,410,005.10/7,600.14
  6. Step 6: Final answer
    x = 6,369.62

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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.