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Finding the Fourth Proportional to 10,616.84, 15,924.99 and 5,074.10

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Solution

The fourth proportional to 10,616.84, 15,924.99 and 5,074.10 is: 7,611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.84 : 15,924.99 = 5,074.10 : x
  2. Step 2: Convert to fraction form
    10,616.84/15,924.99 = 5,074.10/x
  3. Step 3: Cross multiply
    10,616.84x = 15,924.99 × 5,074.10
  4. Step 4: Simplify right side
    10,616.84x = 80,804,991.76
  5. Step 5: Solve for x
    x = 80,804,991.76/10,616.84
  6. Step 6: Final answer
    x = 7,611.02

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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.