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Finding the Fourth Proportional to 7,541.40, 10,407.24 and 4,556.82

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Solution

The fourth proportional to 7,541.40, 10,407.24 and 4,556.82 is: 6,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.40 : 10,407.24 = 4,556.82 : x
  2. Step 2: Convert to fraction form
    7,541.40/10,407.24 = 4,556.82/x
  3. Step 3: Cross multiply
    7,541.40x = 10,407.24 × 4,556.82
  4. Step 4: Simplify right side
    7,541.40x = 47,423,919.38
  5. Step 5: Solve for x
    x = 47,423,919.38/7,541.40
  6. Step 6: Final answer
    x = 6,288.48

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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.