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Finding the Fourth Proportional to 7,444.16, 10,273.10 and 4,087.02

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Solution

The fourth proportional to 7,444.16, 10,273.10 and 4,087.02 is: 5,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.16 : 10,273.10 = 4,087.02 : x
  2. Step 2: Convert to fraction form
    7,444.16/10,273.10 = 4,087.02/x
  3. Step 3: Cross multiply
    7,444.16x = 10,273.10 × 4,087.02
  4. Step 4: Simplify right side
    7,444.16x = 41,986,375.38
  5. Step 5: Solve for x
    x = 41,986,375.38/7,444.16
  6. Step 6: Final answer
    x = 5,640.18

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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.