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Finding the Fourth Proportional to 7,052.10, 9,727.84 and 5,862.92

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Solution

The fourth proportional to 7,052.10, 9,727.84 and 5,862.92 is: 8,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.10 : 9,727.84 = 5,862.92 : x
  2. Step 2: Convert to fraction form
    7,052.10/9,727.84 = 5,862.92/x
  3. Step 3: Cross multiply
    7,052.10x = 9,727.84 × 5,862.92
  4. Step 4: Simplify right side
    7,052.10x = 57,033,518.38
  5. Step 5: Solve for x
    x = 57,033,518.38/7,052.10
  6. Step 6: Final answer
    x = 8,087.45

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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.