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Finding the Fourth Proportional to 7,525.38, 10,383.54 and 4,729.26

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Solution

The fourth proportional to 7,525.38, 10,383.54 and 4,729.26 is: 6,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.38 : 10,383.54 = 4,729.26 : x
  2. Step 2: Convert to fraction form
    7,525.38/10,383.54 = 4,729.26/x
  3. Step 3: Cross multiply
    7,525.38x = 10,383.54 × 4,729.26
  4. Step 4: Simplify right side
    7,525.38x = 49,106,460.38
  5. Step 5: Solve for x
    x = 49,106,460.38/7,525.38
  6. Step 6: Final answer
    x = 6,525.45

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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.