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Finding the Fourth Proportional to 7,213.34, 10,820.05 and 2,283.01

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Solution

The fourth proportional to 7,213.34, 10,820.05 and 2,283.01 is: 3,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.34 : 10,820.05 = 2,283.01 : x
  2. Step 2: Convert to fraction form
    7,213.34/10,820.05 = 2,283.01/x
  3. Step 3: Cross multiply
    7,213.34x = 10,820.05 × 2,283.01
  4. Step 4: Simplify right side
    7,213.34x = 24,702,249.59
  5. Step 5: Solve for x
    x = 24,702,249.59/7,213.34
  6. Step 6: Final answer
    x = 3,424.52

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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.