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Finding the Fourth Proportional to 7,215.34, 10,814.80 and 3,052.75

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Solution

The fourth proportional to 7,215.34, 10,814.80 and 3,052.75 is: 4,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.34 : 10,814.80 = 3,052.75 : x
  2. Step 2: Convert to fraction form
    7,215.34/10,814.80 = 3,052.75/x
  3. Step 3: Cross multiply
    7,215.34x = 10,814.80 × 3,052.75
  4. Step 4: Simplify right side
    7,215.34x = 33,014,880.70
  5. Step 5: Solve for x
    x = 33,014,880.70/7,215.34
  6. Step 6: Final answer
    x = 4,575.65

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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.