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Finding the Fourth Proportional to 7,514.76, 11,272.14 and 1,967.52

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Solution

The fourth proportional to 7,514.76, 11,272.14 and 1,967.52 is: 2,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.76 : 11,272.14 = 1,967.52 : x
  2. Step 2: Convert to fraction form
    7,514.76/11,272.14 = 1,967.52/x
  3. Step 3: Cross multiply
    7,514.76x = 11,272.14 × 1,967.52
  4. Step 4: Simplify right side
    7,514.76x = 22,178,160.89
  5. Step 5: Solve for x
    x = 22,178,160.89/7,514.76
  6. Step 6: Final answer
    x = 2,951.28

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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.