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Finding the Fourth Proportional to 7,259.76, 10,017.60 and 4,115.76

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Solution

The fourth proportional to 7,259.76, 10,017.60 and 4,115.76 is: 5,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.76 : 10,017.60 = 4,115.76 : x
  2. Step 2: Convert to fraction form
    7,259.76/10,017.60 = 4,115.76/x
  3. Step 3: Cross multiply
    7,259.76x = 10,017.60 × 4,115.76
  4. Step 4: Simplify right side
    7,259.76x = 41,230,037.38
  5. Step 5: Solve for x
    x = 41,230,037.38/7,259.76
  6. Step 6: Final answer
    x = 5,679.26

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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.