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Finding the Fourth Proportional to 7,214.83, 10,814.05 and 3,052.24

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Solution

The fourth proportional to 7,214.83, 10,814.05 and 3,052.24 is: 4,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.83 : 10,814.05 = 3,052.24 : x
  2. Step 2: Convert to fraction form
    7,214.83/10,814.05 = 3,052.24/x
  3. Step 3: Cross multiply
    7,214.83x = 10,814.05 × 3,052.24
  4. Step 4: Simplify right side
    7,214.83x = 33,007,075.97
  5. Step 5: Solve for x
    x = 33,007,075.97/7,214.83
  6. Step 6: Final answer
    x = 4,574.89

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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.