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Finding the Fourth Proportional to 7,530.54, 10,393.36 and 7,198.34

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Solution

The fourth proportional to 7,530.54, 10,393.36 and 7,198.34 is: 9,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.54 : 10,393.36 = 7,198.34 : x
  2. Step 2: Convert to fraction form
    7,530.54/10,393.36 = 7,198.34/x
  3. Step 3: Cross multiply
    7,530.54x = 10,393.36 × 7,198.34
  4. Step 4: Simplify right side
    7,530.54x = 74,814,909.55
  5. Step 5: Solve for x
    x = 74,814,909.55/7,530.54
  6. Step 6: Final answer
    x = 9,934.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.