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Finding the Fourth Proportional to 7,598.60, 11,404 and 5,519.52

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Solution

The fourth proportional to 7,598.60, 11,404 and 5,519.52 is: 8,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.60 : 11,404 = 5,519.52 : x
  2. Step 2: Convert to fraction form
    7,598.60/11,404 = 5,519.52/x
  3. Step 3: Cross multiply
    7,598.60x = 11,404 × 5,519.52
  4. Step 4: Simplify right side
    7,598.60x = 62,944,606.08
  5. Step 5: Solve for x
    x = 62,944,606.08/7,598.60
  6. Step 6: Final answer
    x = 8,283.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.