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Finding the Fourth Proportional to 7,259.58, 10,018.32 and 5,439.38

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Solution

The fourth proportional to 7,259.58, 10,018.32 and 5,439.38 is: 7,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.58 : 10,018.32 = 5,439.38 : x
  2. Step 2: Convert to fraction form
    7,259.58/10,018.32 = 5,439.38/x
  3. Step 3: Cross multiply
    7,259.58x = 10,018.32 × 5,439.38
  4. Step 4: Simplify right side
    7,259.58x = 54,493,449.44
  5. Step 5: Solve for x
    x = 54,493,449.44/7,259.58
  6. Step 6: Final answer
    x = 7,506.42

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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.