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Finding the Fourth Proportional to 7,052.72, 9,732.38 and 4,068.38

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Solution

The fourth proportional to 7,052.72, 9,732.38 and 4,068.38 is: 5,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.72 : 9,732.38 = 4,068.38 : x
  2. Step 2: Convert to fraction form
    7,052.72/9,732.38 = 4,068.38/x
  3. Step 3: Cross multiply
    7,052.72x = 9,732.38 × 4,068.38
  4. Step 4: Simplify right side
    7,052.72x = 39,594,985.64
  5. Step 5: Solve for x
    x = 39,594,985.64/7,052.72
  6. Step 6: Final answer
    x = 5,614.14

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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.