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Finding the Fourth Proportional to 7,531.03, 10,390.80 and 4,546.81

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Solution

The fourth proportional to 7,531.03, 10,390.80 and 4,546.81 is: 6,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.03 : 10,390.80 = 4,546.81 : x
  2. Step 2: Convert to fraction form
    7,531.03/10,390.80 = 4,546.81/x
  3. Step 3: Cross multiply
    7,531.03x = 10,390.80 × 4,546.81
  4. Step 4: Simplify right side
    7,531.03x = 47,244,993.35
  5. Step 5: Solve for x
    x = 47,244,993.35/7,531.03
  6. Step 6: Final answer
    x = 6,273.38

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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.