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Finding the Fourth Proportional to 7,507.14, 11,251.49 and 4,213.32

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Solution

The fourth proportional to 7,507.14, 11,251.49 and 4,213.32 is: 6,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.14 : 11,251.49 = 4,213.32 : x
  2. Step 2: Convert to fraction form
    7,507.14/11,251.49 = 4,213.32/x
  3. Step 3: Cross multiply
    7,507.14x = 11,251.49 × 4,213.32
  4. Step 4: Simplify right side
    7,507.14x = 47,406,106.78
  5. Step 5: Solve for x
    x = 47,406,106.78/7,507.14
  6. Step 6: Final answer
    x = 6,314.80

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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.