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Finding the Fourth Proportional to 7,443.63, 11,148.68 and 5,232.29

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Solution

The fourth proportional to 7,443.63, 11,148.68 and 5,232.29 is: 7,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.63 : 11,148.68 = 5,232.29 : x
  2. Step 2: Convert to fraction form
    7,443.63/11,148.68 = 5,232.29/x
  3. Step 3: Cross multiply
    7,443.63x = 11,148.68 × 5,232.29
  4. Step 4: Simplify right side
    7,443.63x = 58,333,044.97
  5. Step 5: Solve for x
    x = 58,333,044.97/7,443.63
  6. Step 6: Final answer
    x = 7,836.64

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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.