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Finding the Fourth Proportional to 6,732.58, 9,287.12 and 4,043.08

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Solution

The fourth proportional to 6,732.58, 9,287.12 and 4,043.08 is: 5,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.58 : 9,287.12 = 4,043.08 : x
  2. Step 2: Convert to fraction form
    6,732.58/9,287.12 = 4,043.08/x
  3. Step 3: Cross multiply
    6,732.58x = 9,287.12 × 4,043.08
  4. Step 4: Simplify right side
    6,732.58x = 37,548,569.13
  5. Step 5: Solve for x
    x = 37,548,569.13/6,732.58
  6. Step 6: Final answer
    x = 5,577.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.