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Finding the Fourth Proportional to 7,707.52, 11,553.96 and 2,509.78

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Solution

The fourth proportional to 7,707.52, 11,553.96 and 2,509.78 is: 3,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.52 : 11,553.96 = 2,509.78 : x
  2. Step 2: Convert to fraction form
    7,707.52/11,553.96 = 2,509.78/x
  3. Step 3: Cross multiply
    7,707.52x = 11,553.96 × 2,509.78
  4. Step 4: Simplify right side
    7,707.52x = 28,997,897.73
  5. Step 5: Solve for x
    x = 28,997,897.73/7,707.52
  6. Step 6: Final answer
    x = 3,762.29

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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.