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Finding the Fourth Proportional to 7,514.64, 11,281.68 and 6,367.68

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Solution

The fourth proportional to 7,514.64, 11,281.68 and 6,367.68 is: 9,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.64 : 11,281.68 = 6,367.68 : x
  2. Step 2: Convert to fraction form
    7,514.64/11,281.68 = 6,367.68/x
  3. Step 3: Cross multiply
    7,514.64x = 11,281.68 × 6,367.68
  4. Step 4: Simplify right side
    7,514.64x = 71,838,128.10
  5. Step 5: Solve for x
    x = 71,838,128.10/7,514.64
  6. Step 6: Final answer
    x = 9,559.76

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