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Finding the Fourth Proportional to 7,213.66, 10,822.40 and 3,053.84

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Solution

The fourth proportional to 7,213.66, 10,822.40 and 3,053.84 is: 4,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.66 : 10,822.40 = 3,053.84 : x
  2. Step 2: Convert to fraction form
    7,213.66/10,822.40 = 3,053.84/x
  3. Step 3: Cross multiply
    7,213.66x = 10,822.40 × 3,053.84
  4. Step 4: Simplify right side
    7,213.66x = 33,049,878.02
  5. Step 5: Solve for x
    x = 33,049,878.02/7,213.66
  6. Step 6: Final answer
    x = 4,581.57

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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.