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Finding the Fourth Proportional to 7,052.73, 9,733.41 and 4,068.69

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Solution

The fourth proportional to 7,052.73, 9,733.41 and 4,068.69 is: 5,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.73 : 9,733.41 = 4,068.69 : x
  2. Step 2: Convert to fraction form
    7,052.73/9,733.41 = 4,068.69/x
  3. Step 3: Cross multiply
    7,052.73x = 9,733.41 × 4,068.69
  4. Step 4: Simplify right side
    7,052.73x = 39,602,227.93
  5. Step 5: Solve for x
    x = 39,602,227.93/7,052.73
  6. Step 6: Final answer
    x = 5,615.16

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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.