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Finding the Fourth Proportional to 7,532.64, 11,297.25 and 2,853.14

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Solution

The fourth proportional to 7,532.64, 11,297.25 and 2,853.14 is: 4,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.64 : 11,297.25 = 2,853.14 : x
  2. Step 2: Convert to fraction form
    7,532.64/11,297.25 = 2,853.14/x
  3. Step 3: Cross multiply
    7,532.64x = 11,297.25 × 2,853.14
  4. Step 4: Simplify right side
    7,532.64x = 32,232,579.38
  5. Step 5: Solve for x
    x = 32,232,579.38/7,532.64
  6. Step 6: Final answer
    x = 4,279.05

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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.