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Finding the Fourth Proportional to 7,582.38, 10,462.95 and 4,558.38

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Solution

The fourth proportional to 7,582.38, 10,462.95 and 4,558.38 is: 6,290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.38 : 10,462.95 = 4,558.38 : x
  2. Step 2: Convert to fraction form
    7,582.38/10,462.95 = 4,558.38/x
  3. Step 3: Cross multiply
    7,582.38x = 10,462.95 × 4,558.38
  4. Step 4: Simplify right side
    7,582.38x = 47,694,102.02
  5. Step 5: Solve for x
    x = 47,694,102.02/7,582.38
  6. Step 6: Final answer
    x = 6,290.12

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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.