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Finding the Fourth Proportional to 7,540, 10,407.54 and 5,056

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Solution

The fourth proportional to 7,540, 10,407.54 and 5,056 is: 6,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540 : 10,407.54 = 5,056 : x
  2. Step 2: Convert to fraction form
    7,540/10,407.54 = 5,056/x
  3. Step 3: Cross multiply
    7,540x = 10,407.54 × 5,056
  4. Step 4: Simplify right side
    7,540x = 52,620,522.24
  5. Step 5: Solve for x
    x = 52,620,522.24/7,540
  6. Step 6: Final answer
    x = 6,978.85

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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.