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Finding the Fourth Proportional to 7,684.88, 11,526.27 and 3,001.62

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Solution

The fourth proportional to 7,684.88, 11,526.27 and 3,001.62 is: 4,502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.88 : 11,526.27 = 3,001.62 : x
  2. Step 2: Convert to fraction form
    7,684.88/11,526.27 = 3,001.62/x
  3. Step 3: Cross multiply
    7,684.88x = 11,526.27 × 3,001.62
  4. Step 4: Simplify right side
    7,684.88x = 34,597,514.52
  5. Step 5: Solve for x
    x = 34,597,514.52/7,684.88
  6. Step 6: Final answer
    x = 4,502.03

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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.