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Finding the Fourth Proportional to 7,257.65, 10,015.11 and 4,071.38

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Solution

The fourth proportional to 7,257.65, 10,015.11 and 4,071.38 is: 5,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.65 : 10,015.11 = 4,071.38 : x
  2. Step 2: Convert to fraction form
    7,257.65/10,015.11 = 4,071.38/x
  3. Step 3: Cross multiply
    7,257.65x = 10,015.11 × 4,071.38
  4. Step 4: Simplify right side
    7,257.65x = 40,775,268.48
  5. Step 5: Solve for x
    x = 40,775,268.48/7,257.65
  6. Step 6: Final answer
    x = 5,618.25

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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.