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Finding the Fourth Proportional to 7,514.63, 11,271.14 and 2,584.16

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Solution

The fourth proportional to 7,514.63, 11,271.14 and 2,584.16 is: 3,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.63 : 11,271.14 = 2,584.16 : x
  2. Step 2: Convert to fraction form
    7,514.63/11,271.14 = 2,584.16/x
  3. Step 3: Cross multiply
    7,514.63x = 11,271.14 × 2,584.16
  4. Step 4: Simplify right side
    7,514.63x = 29,126,416.22
  5. Step 5: Solve for x
    x = 29,126,416.22/7,514.63
  6. Step 6: Final answer
    x = 3,875.96

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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.