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Finding the Fourth Proportional to 7,707.88, 11,561.76 and 4,008.20

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Solution

The fourth proportional to 7,707.88, 11,561.76 and 4,008.20 is: 6,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.88 : 11,561.76 = 4,008.20 : x
  2. Step 2: Convert to fraction form
    7,707.88/11,561.76 = 4,008.20/x
  3. Step 3: Cross multiply
    7,707.88x = 11,561.76 × 4,008.20
  4. Step 4: Simplify right side
    7,707.88x = 46,341,846.43
  5. Step 5: Solve for x
    x = 46,341,846.43/7,707.88
  6. Step 6: Final answer
    x = 6,012.27

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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.