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Finding the Fourth Proportional to 7,708.63, 11,564.76 and 2,514.50

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Solution

The fourth proportional to 7,708.63, 11,564.76 and 2,514.50 is: 3,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.63 : 11,564.76 = 2,514.50 : x
  2. Step 2: Convert to fraction form
    7,708.63/11,564.76 = 2,514.50/x
  3. Step 3: Cross multiply
    7,708.63x = 11,564.76 × 2,514.50
  4. Step 4: Simplify right side
    7,708.63x = 29,079,589.02
  5. Step 5: Solve for x
    x = 29,079,589.02/7,708.63
  6. Step 6: Final answer
    x = 3,772.34

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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.