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Finding the Fourth Proportional to 7,546.14, 11,319.81 and 2,352

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Solution

The fourth proportional to 7,546.14, 11,319.81 and 2,352 is: 3,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.14 : 11,319.81 = 2,352 : x
  2. Step 2: Convert to fraction form
    7,546.14/11,319.81 = 2,352/x
  3. Step 3: Cross multiply
    7,546.14x = 11,319.81 × 2,352
  4. Step 4: Simplify right side
    7,546.14x = 26,624,193.12
  5. Step 5: Solve for x
    x = 26,624,193.12/7,546.14
  6. Step 6: Final answer
    x = 3,528.19

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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.